Choose the correct choice in the following and justify:
11th term of the AP: $-3, -\frac{1}{2},, 2, …,$ is
(A) 28
(B) 22
(C) $-38$
(D) $-48$
Given:
Given AP is $-3, -\frac{1}{2},, 2, …,$
To do:
We have to choose the correct choice.
Solution:
$a=-3$
$d=-\frac{1}{2}-(-3)=-\frac{1}{2}+3$
$=\frac{-1+6}{2}$
$=\frac{5}{2}$
$n=11$
We know that,
$a_{n}=a+(n-1) d$
$a_{11}=-3+(11-1)(\frac{5}{2})$
$=-3+10(\frac{5}{2})$
$=-3+5(5)$
 $=-3+25$
$=22$
Hence, B is the correct choice. 
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