Arithmetic Sequences

Front

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 (d) is the constant amount that each term increases or decreases by in an arithmetic sequence.

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CCSS.HSF.BF.A.2

Front

Find the common difference: 2, 5, 8, 11, ...

Back

d = 3

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CCSS.HSF.BF.A.2

Front

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

Back

The nth term (a_n) 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

Front

What is the explicit formula for the arithmetic sequence: 4, 7, 10, ...?

Back

y = 4 + 3x

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CCSS.HSF.BF.A.2

Front

Determine if the sequence is arithmetic: 10, 15, 20, 25, ...

Back

Yes, the common difference is 5.

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CCSS.HSF.BF.A.2

Front

Find the 10th term of the sequence if a(1) = 3 and d = 2.

Back

a(10) = 3 + (10-1)2 = 21

Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the sequence: 12, 15, 18, ...?

Back

The first term (a(1)) is 12.

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CCSS.HSF.BF.A.2

Front

If the common difference is negative, what does that indicate about the sequence?

Back

It indicates that the sequence is decreasing.

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CCSS.HSF.BF.A.2

Front

Find the common difference: 50, 45, 40, 35, ...

Back

d = -5

Tags

CCSS.HSF.BF.A.2