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 in the sequence increases or decreases by.

Tags

CCSS.HSF.BF.A.2

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Identify the common difference in the sequence: 5, 8, 11, 14,...

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The common difference is 3.

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CCSS.HSF.BF.A.2

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Which of the following sequences is an arithmetic sequence? 2, 4, 6, 8,... or 1, 2, 4, 8,...

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2, 4, 6, 8,... is an arithmetic sequence.

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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 10th term of the arithmetic sequence: 3, 7, 11, 15,...?

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The 10th term is 39.

Tags

CCSS.HSF.BF.A.2

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If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 5th term?

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The 5th term is 12.

Tags

CCSS.HSF.BF.A.2

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What is the formula to calculate the sum of the first n terms of an arithmetic sequence?

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The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

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Find the sum of the first 5 terms of the arithmetic sequence: 1, 3, 5, 7,...

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The sum is 25.

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What is the common difference of the sequence: 10, 7, 4, 1,...?

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The common difference is -3.

Tags

CCSS.HSF.BF.A.2