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

How do you find the common difference in an arithmetic sequence?

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The common difference can be found by subtracting any term from the subsequent term in the sequence.

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CCSS.HSF.BF.A.2

Front

What are the next two terms in the arithmetic sequence 12, 17, 22, 27?

Back

The next two terms are 32 and 37.

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CCSS.HSF.BF.A.2

Front

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

Back

Yes, the common difference is -8.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

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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Given the sequence A(n) = 23 - 5(n - 1), what is the 11th term?

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The 11th term is -27.

Tags

CCSS.HSF.BF.A.2

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What is the common difference in the sequence 4, 7, 10, 13?

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The common difference is 3.

Tags

CCSS.HSF.BF.A.2

Front

How can you determine if a sequence is arithmetic?

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A sequence is arithmetic if the difference between consecutive terms is the same.

Tags

CCSS.HSF.BF.A.2

Front

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

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The next two terms are 16 and 19.

Tags

CCSS.HSF.BF.A.2

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What is the first term of the sequence defined by A(n) = 23 - 5(n - 1)?

Back

The first term A(1) is 23.

Tags

CCSS.HSF.BF.A.2