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 nth term of an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

Front

How do you find the nth term of a geometric sequence?

Back

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CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 5, 8, 11, 14, ...?

Back

The common difference is 3.

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CCSS.HSF.BF.A.2

Front

What is the common ratio in the sequence 2, 6, 18, 54, ...?

Back

The common ratio is 3.

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CCSS.HSF.BF.A.2

Front

Identify the 5th term in the arithmetic sequence defined by 2, 5, 8, 11, ...

Back

The 5th term is 14.

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CCSS.HSF.BF.A.2

Front

Identify the 4th term in the geometric sequence defined by 3, 9, 27, 81, ...

Back

The 4th term is 81.

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CCSS.HSF.BF.A.2

Front

What is the explicit formula for the arithmetic sequence 4, 7, 10, 13, ...?

Back

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CCSS.HSF.BF.A.2

Front

What is the explicit formula for the geometric sequence 1, 2, 4, 8, ...?

Back

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CCSS.HSF.BF.A.2