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5.03 Geometric sequences as exponential functions

Interactive practice questions

Study the pattern for the following geometric sequence, and write down the next two terms.

$3$3, $15$15, $75$75, $\editable{}$, $\editable{}$

Easy
< 1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy
< 1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy
1min

Study the pattern for the following geometric sequence, and write down the next two terms.

Easy
2min
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Outcomes

I.F.IF.3

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

I.F.BF.1

Write a function that describes a relationship between two quantities.

I.F.BF.1.a

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

I.F.BF.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. Limit to linear and exponential functions. Connect arithmetic sequences to linear func tions and geometric sequences to exponential functions.

I.F.LE.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

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