Topics
5. Linear and Exponential Models
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United States of America
Grades 9-12

5.03 Geometric sequences

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following sequence.

$4$4, $-28$−28, $224$224, $-1372$−1372, ...

Is the sequence arithmetic, geometric or neither?

arithmetic

A

neither

B

geometric

C
Medium
< 1min

Find the common ratio of the geometric sequence.

$2$2, $-16$−16, $128$128, $-1024$−1024, ...

Easy
< 1min

Find the common ratio of the geometric sequence.

$-\frac{352}{5}$−3525​$,$, $-\frac{88}{5}$−885​$,$, $-\frac{22}{5}$−225​$,$, $-\frac{11}{10}$−1110​$,$, ...

Easy
< 1min

Study the pattern for the following sequence.

$-9$−9$,$, $3.6$3.6$,$, $-1.44$−1.44$,$, $0.576$0.576 ...

Easy
< 1min
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Outcomes

F.BF.A.1

Write a function that describes a relationship between two quantities.

F.BF.A.1.A

Determine an explicit expression, a recursive process, or steps for calculation from a context.

F.BF.A.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

F.LE.A.1.C

Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

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