Question

Check whether -150 is a termof the Ap 11,8,5,2

Answer 1

The Ap is
11,8,5,2
common difference
=t2-t1
=8-11
=-3
now nth term of an Ap
tn=a+(n-1)D
-150=11+(n-1)(-3)
$- 150 = 11 + (n - 1)( - 3) \\ - 150 - 11 = - 3n + 3 \\ - 161 - 3 = - 3n \\ - 164 = - 3n \\ n = 54.6$
n is not an integer
So -150 is not the term of AP

Answer 2

Hope it helps you

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