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Chapter 12: Q. 16 (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=-2;d=4

Short Answer

Expert verified

The nth term is localid="1648724438610" an=4n-6and the fifty-first term is198.

Step by step solution

01

Step 1. Given information

a1=-2;d=4

02

Step 2. Calculation

The nth term is -

an=a1+(n-1)d

localid="1648724356281" =-2+n-14

=-2+4n-4

=4n-6

and the fifty-first term is -

a51=-2+(51-1)4

=-2+200

=198

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