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Chapter 12: Q. 17 (page 816)

Find the nth term of the arithmetic sequence anwhose initial term a1and common difference dare given. What is the fifty-first term?

a1=5;d=-3

Short Answer

Expert verified

The nth term is localid="1648724564160" an=8-3nand the fifty-first term -145.

Step by step solution

01

Step 1. Given information

a1=5;d=-3

02

Step 2. Calculation

The nthterm is -

an=a1+(n-1)d

localid="1648724489206" =5+n-1-3

=5-3n+3

=8-3n

and the fifty-first term is -

localid="1648664026002" a51=5+(51-1)-3

=5+-150

=-145

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Most popular questions from this chapter

In Problems 61鈥�70, express each sum using summation notation.

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