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.

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CCSS.HSF.BF.A.2

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

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The common difference can be found by subtracting any term from the subsequent term in the sequence.

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CCSS.HSF.BF.A.2

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Given the arithmetic sequence 5, 10, 15, what are the next two terms?

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The next two terms are 20 and 25.

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CCSS.HSF.BF.A.2

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Is the sequence 2, 4, 6, 8 an arithmetic sequence?

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Yes, it is an arithmetic sequence with a common difference of 2.

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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?

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The nth term can be calculated using the formula: 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

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If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 10th term?

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The 10th term is 39.

Tags

CCSS.HSF.BF.A.2

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How can you determine if a sequence is arithmetic?

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A sequence is arithmetic if the difference between consecutive terms is the same.

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CCSS.HSF.BF.A.2

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What are the first three terms of the arithmetic sequence that starts with 7 and has a common difference of 3?

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The first three terms are 7, 10, and 13.

Tags

CCSS.HSF.BF.A.2

Front

If an arithmetic sequence has a first term of 12 and a common difference of -2, what is the 5th term?

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The 5th term is 2.

Tags

CCSS.HSF.BF.A.2

Front

What is the sum of the first n terms of an arithmetic sequence?

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The sum can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where S_n is the sum of the first n terms, a_1 is the first term, and a_n is the nth term.