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Chapter 11: Q5. (page 580)

Find the next four terms of each arithmetic sequence.

3, 1, -1, …

Short Answer

Expert verified

The next four terms of the arithmetic sequence are-3, -5, -7, -9.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 3, 1, -1, …

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is 1−3=−2

The difference between the next two terms is −1−1=−2

So, the common difference is -2.

The next term in the arithmetic sequence is −1−2=−3

The next term in the arithmetic sequence is −3−2=−5

The next term in the arithmetic sequence is −5−2=−7

The next term in the arithmetic sequence is −7−2=−9

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are -3, -5, -7, -9.

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Most popular questions from this chapter

Complete the statement for each arithmetic sequence.

-14 is the ___?__ term of 215,2,145,....

Find Sn for each arithmetic series described.

a1=4,an=100,n=25

Find the sum of each arithmetic series.

∑n=17(2n+1)

Refer to the first three arrays of numbers below.

Is 397 a number in this pattern? Explain.

Find the indicated term of each arithmetic sequence.

a1=−4,d=−9,n=20
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