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

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What is the common difference in an arithmetic sequence?

Back

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, ...?

Back

No, this sequence does not have a constant difference.

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CCSS.HSF.BF.A.2

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

m = 5, since each term increases by 5.

Tags

CCSS.HSF.BF.A.2

Front

Write the explicit equation for the arithmetic sequence: 25, 21, 17, 13,...

Back

t(n) = -4n + 29.

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CCSS.HSF.BF.A.2

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, the common difference is -6.

Tags

CCSS.HSF.BF.A.2

Front

Find the common difference in the sequence: 29, 21, 13, 5, ...

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m = -8, since each term decreases by 8.

Tags

CCSS.HSF.BF.A.2

Front

What is the nth term formula for an arithmetic sequence?

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The nth term formula is t(n) = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

How do 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 is the first term of the sequence: 10, 15, 20, ...?

Back

The first term is 10.

Tags

CCSS.HSF.BF.A.2