Infinite Series

Practice Questions

Algebra II › Infinite Series

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1

Determine the sum, if possible: $4-\frac{2}{3}+\frac{1}{9}-...$

2

Evaluate the infinite series for

3

Determine the sum, if possible: $2-\frac{1}{3}+\frac{1}{18}-...$

4

Find the sum of the infinite series

5

Determine the sum of: $9+3+1+\frac{1}{3}+\frac{1}{9}+...$

6

Evaluate:

$\sum_{k = 1}^{\infty} \frac{1}{k^{2}+k}$

7

Evaluate:

$\sum_{i = 1}^{\infty} \left (\frac{4}{7} \right )^{i}$

8

Evaluate:

$\sum_{i = 0}^{\infty} \left (- \frac{3}{5} \right )^{i}$

9

Evaluate:

$\sum_{i = 0}^{\infty} \left (- \frac{5}{4} \right )^{i}$

10

Find the sum if the series converges: $10-6+\frac{18}{5}-\frac{54}{25}+...$

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