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7.03 Exponential functions as geometric sequences

Adaptive
Worksheet

Interactive practice questions

How can the common ratio of a geometric sequence be obtained?

By choosing any term after the first and multiplying it by the previous term.

A

By choosing any term after the first and subtracting the previous term from it.

B

By choosing any term after the first and dividing it by the previous term.

C

By choosing any term after the first and multiplying it by the next term.

D
Easy
< 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

Consider the first four terms in this geometric sequence: $-8$8, $-16$16, $-32$32, $-64$64

Easy
1min
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Outcomes

M1.F.BF.A.2

Define sequences as functions, including recursive definitions, whose domain is a subset of the integers. Write explicit and recursive formulas for arithmetic and geometric sequences in context and connect them to linear and exponential functions.*

M1.MP2

Reason abstractly and quantitatively.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

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