Geometric Sequences formula

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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 formula for the nth term of 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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What is the 11th term of the geometric sequence with first term 1 and common ratio 49?

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CCSS.HSF.BF.A.2

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What is the 14th term of the geometric sequence with first term 1 and common ratio 49?

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CCSS.HSF.BF.A.2

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How can you determine if a sequence is geometric?

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

Tags

CCSS.HSF.BF.A.2

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What is the difference between arithmetic and geometric sequences?

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In an arithmetic sequence, each term is obtained by adding a constant (the common difference), while in a geometric sequence, each term is obtained by multiplying by a constant (the common ratio).

Tags

CCSS.HSF.BF.A.2

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If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 5th term?

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CCSS.HSF.BF.A.2

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What is the formula to find the sum of the first n terms of a geometric sequence?

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CCSS.HSA.SSE.B.4

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What is the sum of the first 5 terms of a geometric sequence with first term 2 and common ratio 3?

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CCSS.HSA.SSE.B.4