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 is the fixed amount added to each term to get the next term in the sequence.

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CCSS.HSF.BF.A.2

Front

Find the 22nd term of the sequence: 5, 8, 11, ... (Hint: Write the explicit rule first, then use it to solve)

Back

68

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CCSS.HSF.BF.A.2

Front

Select the explicit rule that represents the sequence: 6 + 5(n - 1), 4 + 6(n - 1), 6 - 4(n - 1)

Back

6 + 5(n - 1)

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CCSS.HSF.BF.A.2

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

3, 12, 21

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CCSS.HSF.BF.A.2

Front

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

Back

No

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CCSS.HSF.BF.A.2

Front

Write a recursive rule for the sequence 17, 1, -15, -31 ...

Back

a_n = a_(n-1) - 16

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CCSS.HSF.IF.A.3

Front

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

Back

The explicit formula is 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

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

Back

Subtract any term from the term that follows it.

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CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Tags

CCSS.HSF.BF.A.2