Arithmetic Sequence

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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 (d) is the constant 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 common difference in the sequence: -18, -23, -28, -33, ...?

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The common difference is d = -5.

Tags

CCSS.HSF.BF.A.2

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What is the explicit formula for the arithmetic sequence: 2, 8, 14, ...?

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The explicit formula is a_n = 6n - 4.

Tags

CCSS.HSF.BF.A.2

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How do you find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...?

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The next three terms are 61, 70, 79.

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 and d is the common difference.

Tags

CCSS.HSF.BF.A.2

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What is the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...?

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The 35th term is -146.

Tags

CCSS.HSF.BF.A.2

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Is the sequence 17, 9, 1, -7, ... an arithmetic sequence?

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Yes, it is an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

What is the formula to find the common difference in a sequence?

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The common difference can be found using d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Tags

CCSS.HSF.BF.A.2

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If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

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The 10th term is 32.

Tags

CCSS.HSF.BF.A.2