arithmetic sequence

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What is an arithmetic sequence?

Back

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

Tags

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 added to each term to get the next term in the sequence.

Tags

CCSS.HSF.BF.A.2

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Identify the first term (a1) in the sequence: 5, 10, 15, 20,...

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The first term (a1) is 5.

Tags

CCSS.HSF.BF.A.2

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If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the second term?

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The second term is 5.

Tags

CCSS.HSF.BF.A.2

Front

Find the next term in the arithmetic sequence: 4, 7, 10, 13,...

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The next term is 16.

Tags

CCSS.HSF.BF.A.2

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

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The nth term (an) can be calculated using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

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Determine the common difference in the sequence: 12, 8, 4, 0,...

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The common difference is -4.

Tags

CCSS.HSF.BF.A.2

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What are the next two terms in the sequence: 1, 4, 7, 10,...?

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The next two terms are 13 and 16.

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

Front

If the first three terms of an arithmetic sequence are 13, 19, 25, what are the next two terms?

Back

The next two terms are 31 and 37.

Tags

CCSS.HSF.BF.A.2