sgazzera1 sgazzera1

01-07-2016
Mathematics

Answered

What is the 32nd term of the arithmetic sequence where

a1 = 14 and a13 = -58?

Verified Answer :

01-07-2016

The nth term of an arithmetic sequence is found from:
\(n_{th}\ term=a+(n-1)d\)
Plugging in the given values, we get for the 13th term:
-58=14+12d
12d =-58 - 14 = -72
d = -6
So, the 32nd term is:
\(a_{32}=14+(32-1)-6=-172\)

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