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

Front

Is the sequence arithmetic: -3, 3, -3, 3, ...?

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No, this sequence alternates and does not have a constant difference.

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CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: 2, 5, 8, 11, ...

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14, 17, 20

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CCSS.HSF.BF.A.2

Front

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.

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CCSS.HSF.BF.A.2

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What is the 4th term in the arithmetic sequence: 3, 7, 11, ...?

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The 4th term is 15.

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CCSS.HSF.BF.A.2

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Find the next term in the arithmetic sequence: 10, 15, 20, ...

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The next term is 25.

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CCSS.HSF.BF.A.2

Front

If the first term is 5 and the common difference is 3, what is the 10th term?

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The 10th term is 32.

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CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

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-23, -28, -33

Tags

CCSS.HSF.BF.A.2

Front

What is the formula for 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.