Arithmetic Sequences

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What is an arithmetic sequence?

Back

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

Front

What is the common difference in an arithmetic sequence?

Back

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

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CCSS.HSF.BF.A.2

Front

How do you find the common difference in a sequence?

Back

Subtract the first term from the second term (d = a2 - a1).

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CCSS.HSF.BF.A.2

Front

Is the sequence 1, 4, 9, 16 an arithmetic sequence?

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No, because the differences between terms (3, 5, 7) are not constant.

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CCSS.HSF.BF.A.2

Front

Determine if the sequence 17, 9, 1, -7 is arithmetic.

Back

Yes, the common difference is -8.

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CCSS.HSF.BF.A.2

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What are the next three terms in the sequence -33, -24, -15, -6?

Back

3, 12, 21.

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CCSS.HSF.BF.A.2

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How do you find the nth term of an arithmetic sequence?

Back

Use 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

Front

Find a_20 in the arithmetic sequence 5, 12, 19, 26.

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a_20 = 138.

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CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d.

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CCSS.HSF.BF.A.2

Front

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

Back

The 5th term is 22.

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CCSS.HSF.BF.A.2