Arithmetic Sequences

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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.

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CCSS.HSF.BF.A.2

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What is the common difference in an arithmetic sequence?

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The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

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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The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.

Tags

CCSS.HSF.BF.A.2

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What is the first term (a_1) in the sequence 5, 8, 11, 14,...?

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The first term (a_1) is 5.

Tags

CCSS.HSF.BF.A.2

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What is the common difference of the sequence 2, -1, -4, -7,...?

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The common difference is -3.

Tags

CCSS.HSF.BF.A.2

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What is the 67th term of the arithmetic sequence 13, 22, 31, 40,...?

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The 67th term is 607.

Tags

CCSS.HSF.BF.A.2

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Which of the following is NOT an arithmetic sequence: 12, 18, 24, 30 or 2, 4, 8, 16?

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2, 4, 8, 16 is NOT an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

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What is the common difference of the sequence -6, -14, -22, -30,...?

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The common difference is -8.

Tags

CCSS.HSF.BF.A.2

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What is the 5th term of the arithmetic sequence 3, 7, 11, 15,...?

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The 5th term is 19.

Tags

CCSS.HSF.BF.A.2

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How do you determine if a sequence is arithmetic?

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A sequence is arithmetic if the difference between consecutive terms is constant.

Tags

CCSS.HSF.BF.A.2