How to find the nth term of an arithmetic sequence

Practice Questions

SAT Math › How to find the nth term of an arithmetic sequence

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1

An arithmetic sequence begins as follows:

Give the sixteenth term of this sequence.

2

An arithmetic sequence begins as follows: 14, 27, 40...

What is the first four-digit integer in the sequence?

3

2, 8, 14, 20

The first term in the sequence is 2, and each following term is determined by adding 6. What is the value of the 50th term?

4

In the given sequence, the first term is 3 and each term after is one less than three times the previous term.

What is the sixth term in the sequence?

5

Consider the following sequence of numbers:

What will be the 8th term in the sequence?

6

You are given a sequence with the same difference between consecutive terms. We know it starts at and its 3rd term is . Find its 10th term.

7

In a certain sequence, a n+1 = (an)2 – 1, where an represents the _n_th term in the sequence. If the third term is equal to the square of the first term, and all of the terms are positive, then what is the value of (_a_2)(_a_3)(_a_4)?

8

Which of the following could not be a term in the sequence 5, 10, 15, 20...?

9

In an arithmetic sequence, each term is two greater than the one that precedes it. If the sum of the first five terms of the sequence is equal to the difference between the first and fifth terms, what is the tenth term of the sequence?

10

Find the seventh term in the following sequence:

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