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.

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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, 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 of the sequence 5, 8, 11, ...?

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The first term (a_1) is 5.

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CCSS.HSF.BF.A.2

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What is the common difference of the sequence 10, 20, 30, 40, ...?

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The common difference (d) is 10.

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CCSS.HSF.BF.A.2

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Find the 22nd term of the sequence 5, 8, 11, ...

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The 22nd term is 68.

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CCSS.HSF.BF.A.2

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What are the next two terms of the sequence 4, 7, 10, 13?

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The next two terms are 16 and 19.

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CCSS.HSF.BF.A.2

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Write the recursive formula for the sequence 6, 4, 2, 0, ...

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The recursive formula is a_1 = 6, a_n = a_{n-1} - 2.

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CCSS.HSF.IF.A.3

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What is the formula for the nth term of the sequence 12, 17, 22, 27?

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The nth term can be expressed as a_n = 12 + (n-1)5.

Tags

CCSS.HSF.BF.A.2

Front

How do you determine the next term in an arithmetic sequence?

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To find the next term, add the common difference to the last known term.

Tags

CCSS.HSF.BF.A.2