Arithmetic/Geometric Sequences & Series

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What is an arithmetic sequence?

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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

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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.

Tags

CCSS.HSF.BF.A.2

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How do you find the nth term of an arithmetic sequence?

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CCSS.HSF.BF.A.2

Front

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

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CCSS.HSF.BF.A.2

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What is the formula for the sum of the first n terms of an arithmetic series?

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What is the formula for the sum of the first n terms of a geometric series?

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Tags

CCSS.HSA.SSE.B.4

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Evaluate the geometric series: 2 + 6 + 18 + ... (up to 4 terms)

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The sum is 2 + 6 + 18 + 54 = 80.

Tags

CCSS.HSA.SSE.B.4

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What is the common ratio in the geometric sequence 3, 9, 27, ...?

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The common ratio is 3, since each term is multiplied by 3 to get the next term.

Tags

CCSS.HSF.BF.A.2

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

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Tags

CCSS.HSF.BF.A.2

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What is the 8th term in the arithmetic sequence 2, 5, 8, ...?

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Tags

CCSS.HSF.BF.A.2