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

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

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 8th term in the geometric sequence 3, 9, 27, 81, ...?

Back

The 8th term is 6,561.

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CCSS.HSF.BF.A.2

Front

Which sequence has a common difference? 1, 4, 9, 16, ... or 3, 10, 17, 24, ...?

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The sequence 3, 10, 17, 24, ... has a common difference.

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CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence {48, 32, 16, 0, ...}?

Back

The common difference is -16.

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CCSS.HSF.BF.A.2

Front

Back

The first term is -1.

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CCSS.HSF.BF.A.2