Arithmetic Sequences

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

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CCSS.HSF.BF.A.2

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What is the common difference in an arithmetic sequence?

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The common difference is the fixed amount that each term in an arithmetic sequence increases or decreases by. It can be found by subtracting any term from the term that follows it.

Tags

CCSS.HSF.BF.A.2

Front

Identify the common difference in the sequence: 4, 7, 10, 13,...

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The common difference is 3.

Tags

CCSS.HSF.BF.A.2

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Which of the following sequences is NOT an arithmetic sequence? -7, -13, -19, -25; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375

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3, 15, 75, 375 is NOT an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

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If the sequence 6, 11, 16, 21 continues, what will be the 9th term?

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The 9th term is 46.

Tags

CCSS.HSF.BF.A.2

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Write an explicit formula for the arithmetic sequence 1.5, 2.0, 2.5, 3.0,...

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Tags

CCSS.HSF.BF.A.2

Front

Back

Tags

CCSS.HSF.BF.A.2

Front

What are the next two terms of the arithmetic sequence 13, 19, 25?

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The next two terms are 31 and 37.

Tags

CCSS.HSF.BF.A.2

Front

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

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Tags

CCSS.HSF.BF.A.2

Front

What is the first term of the sequence 5, 8, 11, 14,...?

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The first term is 5.

Tags

CCSS.HSF.BF.A.2