Arithmetic and Geometric Series

Practice Questions

Pre-Calculus › Arithmetic and Geometric Series

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1

Rewrite this sum using summation notation:

2

Find the next term in the series: , , , , .

3

What is the common ratio of the Geometric series pictured below?

4

What is the lowest value of where the sum of the arithmetic sequence $a_{k} = 1 +2k$ where $a_{0}=1$ will exceed 200?

5

What type of series is listed below?

6

What type of series is indicated below?

7

What type of sequence is the following?

$\begin{Bmatrix} {1,2,4,8,16,31,64,...} \end{Bmatrix}$

8

The first term in an arithmetic series is 3, and the 9th term is 35. What is the 17th term?

9

Find the value of the sum: $\sum_{k=3}^{7}{\frac{1}{k}}$

10

The fourth term in an arithmetic sequence is -20, and the eighth term is -10. What is the hundredth term in the sequence?

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