Arithmetic and Geometric Sequences Review

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

Identify the common difference in the arithmetic sequence: 3, 7, 11, 15, ...

Back

The common difference is 4.

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CCSS.HSF.BF.A.2

Front

Identify the common ratio in the geometric sequence: 2, 6, 18, 54, ...

Back

The common ratio is 3.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of a geometric sequence?

Back

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CCSS.HSF.BF.A.2

Front

Determine if the sequence 5, 10, 20, 40, ... is arithmetic, geometric, or neither.

Back

The sequence is geometric.

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CCSS.HSF.BF.A.2

Front

Find the 5th term of the arithmetic sequence: 10, 15, 20, ...

Back

The 5th term is 30.

Tags

CCSS.HSF.BF.A.2

Front

Find the 4th term of the geometric sequence: 3, 9, 27, ...

Back

The 4th term is 81.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence: 12, 15, 18, 21, ...?

Back

The common difference is 3.

Tags

CCSS.HSF.BF.A.2