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 (d).

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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 (r).

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CCSS.HSF.BF.A.2

Front

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. If it is, the sequence is arithmetic.

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CCSS.HSF.BF.A.2

Front

How do you determine if a sequence is geometric?

Back

To determine if a sequence is geometric, check if the ratio of consecutive terms is constant. If it is, the sequence is geometric.

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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

Find the common difference in the arithmetic sequence: 5, 8, 11, 14.

Back

The common difference (d) is 3, since 8 - 5 = 3, 11 - 8 = 3, and 14 - 11 = 3.

Tags

CCSS.HSF.BF.A.2

Front

Find the common ratio in the geometric sequence: 3, 6, 12, 24.

Back

The common ratio (r) is 2, since 6/3 = 2, 12/6 = 2, and 24/12 = 2.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the arithmetic sequence: 10, 15, 20, ...?

Back

The next three terms are 25, 30, and 35.

Tags

CCSS.HSF.BF.A.2

Front

What are the next three terms in the geometric sequence: 2, 6, 18, ...?

Back

The next three terms are 54, 162, and 486.

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CCSS.HSF.BF.A.2