Geometric Sequences

Practice Questions

Algebra II › Geometric Sequences

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1

Given the sequence , what is the 7th term?

2

$\left { -1, 2, -4, 8, -16, 32... \right }$

What is the explicit formula for the above sequence? What is the 20th value?

3

Which of the following is a geometric sequence?

4

Which of the following could be the formula for a geometric sequence?

5

Find the 19th term of the sequence $7,000, \enspace 2,800, \enspace 1,120, \enspace 448, ...$

\[the first term is 7,000\]

6

What type of sequence is shown below?

$\left { 4,9,15,22,30... \right }$

7

$\textup{In the above geometric sequence, what is the value of }n\textup{?}$

8

Find the 26th term of the sequence $1,771,561, \enspace -1,449,459, \enspace 1,185,921, \enspace -970,299, ...$

9

What is if $S_2 = \frac{2}{3}$ and $r=\frac{1}{6}$ ?

10

Identify the 10th term in the series:

$\left { \frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32}... \right }$

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