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

Front

What is the explicit formula for an arithmetic sequence?

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The explicit formula is a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, d is the common difference, and n is the term number.

Tags

CCSS.HSF.BF.A.2

Front

What is the recursive formula for an arithmetic sequence?

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The recursive formula is a_n = a_(n - 1) + d, where a_n is the nth term, a_(n - 1) is the previous term, and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

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The 4th term is 14.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 10, 15, 20, 25?

Back

The common difference is 5.

Tags

CCSS.HSF.BF.A.2

Front

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

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Use the formula a_n = a_1 + (n - 1)d.

Tags

CCSS.HSF.BF.A.2

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What are the first five terms of the sequence defined by a_n = 2 + 4(n - 1)?

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The first five terms are 2, 6, 10, 14, 18.

Tags

CCSS.HSF.BF.A.2

Front

In the sequence 7, 10, 13, 16, what is the 10th term?

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The 10th term is 40.

Tags

CCSS.HSF.BF.A.2

Front

What does the term 'previous term' refer to in a recursive formula?

Back

It refers to the term that comes before the current term in the sequence.

Tags

CCSS.HSF.BF.A.2

Front

Which of the following sequences is arithmetic: 2, 4, 6, 8 or 1, 2, 4, 8?

Back

The sequence 2, 4, 6, 8 is arithmetic.

Tags

CCSS.HSF.BF.A.2