Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

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CCSS.HSF.BF.A.2

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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CCSS.HSF.BF.A.2

Front

How do you find the common difference in an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

Front

How do you find the common ratio in a geometric sequence?

Back

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CCSS.HSF.BF.A.2

Front

What is the explicit formula for an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

Front

What is the explicit formula for a geometric sequence?

Back

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CCSS.HSF.BF.A.2

Front

Identify the type of sequence: 5, 10, 15, 20, ...

Back

This is an arithmetic sequence with a common difference of 5.

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CCSS.HSF.BF.A.2

Front

Identify the type of sequence: 3, 9, 27, 81, ...

Back

This is a geometric sequence with a common ratio of 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference for the sequence: 2, 5, 8, 11, ...

Back

The common difference is 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the common ratio for the sequence: 4, 12, 36, 108, ...

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2