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4.11 Arithmetics sequences as linear functions

Interactive practice questions

How is the common difference of an arithmetic sequence obtained?

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

A

By choosing any term after the first and adding the subsequent term to it.

B

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

C

By choosing any term after the first and adding the preceding term to it.

D
Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min

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

Easy
< 1min
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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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