Arithmetic Sequences: Explicit Formula

Front

What is 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

Front

What is the explicit formula for an arithmetic sequence?

Back

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

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CCSS.HSF.BF.A.2

Front

Given the sequence 4, 11, 18, 25, what is a_3?

Back

18

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CCSS.HSF.BF.A.2

Front

What is the common difference in the sequence 34, 37, 40, 43?

Back

The common difference is 3.

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CCSS.HSF.BF.A.2

Front

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

Back

To find the nth term, use the formula a_n = a_1 + (n - 1)d.

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CCSS.HSF.BF.A.2

Front

What are the next two terms of the sequence 2, -4, 8, -16?

Back

32, -64

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CCSS.HSF.BF.A.2

Front

What is the 15th term of the sequence a_n = -3n + 50?

Back

5

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CCSS.HSF.BF.A.2

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 10th term?

Back

The 10th term is 23.

Tags

CCSS.HSF.BF.A.2

Front

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

Back

The sum S_n of the first n terms is given by S_n = n/2 * (a_1 + a_n).

Front

In the sequence 3, 7, 11, 15, what are the next three terms?

Back

19, 23, 27

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CCSS.HSF.BF.A.2