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Chapter 11: Q12. (page 581)

Write an equation for the nth term of the arithmetic sequence -26, -15, -4, 7, ... .

Short Answer

Expert verified

An equation for the nth term of the arithmetic sequence is an=11n鈭�37 .

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -26, -15, -4, 7, ....

02

Step 2. Calculation.

The nth term of an arithmetic sequence is given byan=a1+(n鈭�1)d .

Here the first term isa1=鈭�26

The difference between the first two terms is (鈭�15)鈭�(鈭�26)=鈭�15+26=11

The difference between the next two terms is (鈭�4)鈭�(鈭�15)=鈭�4+15=11

Hence, the common difference is d=11

Plugging the values in the formula:

an=a1+(n鈭�1)dan=鈭�26+(n鈭�1)(11)an=鈭�26+11n鈭�11an=11n鈭�37

03

Step 3. Conclusion.

Hence, an equation for the nth term of the arithmetic sequence is an=11n鈭�37.

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Most popular questions from this chapter

Write an equation for the nth term of each arithmetic sequence.

-3, -5, -7, -9, ... .

Find the first three terms of each arithmetic series described.

n=8,an=36,Sn=120

Find the first five terms of each arithmetic sequence described.

a1=41,d=5

Find Sn for each arithmetic series described.

localid="1648548029213" a1=132,d=鈭�4,an=52

Find the first five terms of each arithmetic sequence described.

a1=58,d=38
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