Sequences: Explicit & Recursive Formulas

Front

What is a sequence?

Back

A sequence is a set of numbers in a specific order.

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CCSS.HSF.BF.A.2

Front

What is an explicit formula for a sequence?

Back

An explicit formula defines the nth term of a sequence directly in terms of n.

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CCSS.HSF.BF.A.2

Front

What is a recursive formula for a sequence?

Back

A recursive formula defines each term of a sequence using the previous term(s).

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CCSS.HSF.BF.A.2

Front

Find the first four terms of the sequence defined by a_n = 6n - 1.

Back

5, 11, 17, 23.

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CCSS.HSF.BF.A.2

Front

Which sequence has a pattern of 'multiply by 4'?

Back

3, 12, 48, 192.

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CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 2, 7, 12, 17,...?

Back

The common difference is 5.

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CCSS.HSF.BF.A.2

Front

Given a_n = 7, what is a_n+1 in the sequence 2, 7, 12, 17,...?

Back

12.

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CCSS.HSF.IF.A.3

Front

What is the first term of the sequence defined by a_n = 3n + 2?

Back

5.

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CCSS.HSF.BF.A.2

Front

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

Back

Use the formula a_n = a_1 + (n-1)d, where d is the common difference.

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CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where r is the common ratio.

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CCSS.HSF.BF.A.2