ATA Flashcard 10-1 (Pt 1): Intro to Sequences & Series

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What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

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CCSS.HSF.BF.A.2

Front

Define 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 added to each term to get the next term in an arithmetic sequence.

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CCSS.HSF.BF.A.2

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Back

Substituting n=1 to 5 gives: -19, -16, -11, -4, 5.

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CCSS.HSF.BF.A.2

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

Back

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CCSS.HSF.BF.A.2

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How do you determine if a sequence is arithmetic?

Back

Check if the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

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Back

The first term is 15.

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CCSS.HSF.BF.A.2

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What is the recursive formula for the sequence {4, 11, 32, 95, 284, ...}?

Back

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CCSS.HSF.IF.A.3

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How do you find the 7th term of a recursive sequence?

Back

Use the recursive formula repeatedly starting from the known terms until you reach the desired term.

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CCSS.HSF.BF.A.2

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Back

The first five terms are 15, 13, 11, 9, 7.

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CCSS.HSF.BF.A.2