Geometric Sequences

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What is a geometric sequence?

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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

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What is the explicit formula for a geometric sequence?

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CCSS.HSF.BF.A.2

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

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CCSS.HSF.BF.A.2

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The first four terms are 4, 20, 100, 500.

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CCSS.HSF.BF.A.2

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Write the explicit formula for the sequence: 216, 72, 24, 8, ...

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CCSS.HSF.BF.A.2

Front

What are the next three terms in the geometric sequence: 512, 256, 128, ...?

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The next three terms are 64, 32, 16.

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CCSS.HSF.BF.A.2

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The sum is 43.

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CCSS.HSA.SSE.B.4

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How do you determine if a sequence is geometric?

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A sequence is geometric if the ratio of consecutive terms is constant.

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CCSS.HSF.BF.A.2

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What is the common ratio of the sequence: 3, 6, 12, 24, ...?

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The common ratio is 2.

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CCSS.HSF.BF.A.2

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If the first term of a geometric sequence is 10 and the common ratio is 3, what is the 5th term?

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CCSS.HSF.BF.A.2