Write, Model, and Translate Arithmetic and Geometric Sequences Recursively and Explicitly: CCSS.Math.Content.HSF-BF.A.2 - Common Core: High School - Functions
Card 0 of 12
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
![](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/786460/gif.latex "\ A=\textup{1}^{st} \textup{ term} \d=\textup{difference constant} \
=\textup{desired term}")
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above
Write an explicit recursive function that describes the following sequence.
Write an explicit recursive function that describes the following sequence.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
This question is testing one's ability to identify and understand an arithmetic sequence and create the recursive function. Recall that for a function to be recursive, it depends on the previous term in the sequence. It is also important to recall that the difference in an arithmetic sequence is just a constant.
For the purpose of Common Core Standards, writing arithmetic and geometric recursive and explicit sequences, falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Following the steps from above for this particular problem is as follows.
Step 1: Identify the arithmetic difference of the sequence.
Step 2: Identify the basic form for an arithmetic recursive sequence.
where
Step 3: Substitute known values into the form from Step 2.
Compare your answer with the correct one above