Question

Question 2 (ii)
Choose the correct choice in the following and justify.
(ii) ${11}^{th}termoftheA.P-3,\frac{-1}{2},2is$

A) 28
B) 22
C) -38
D) 44

Answer 1

$Giventhat,A.P.is-3,\frac{-1}{2},2,\dots$

First term:
$a=-3$

Common difference:
$d=a_2-a_1=\left(\frac{-1}{2}\right)-(-3)=\left(\frac{-1}{2}\right)+3=\frac{5}{2}$

We know that,
$a_n=a+(n-1)d\Rightarrow a_{11}=-3+(11-1)\left(\frac{5}{2}\right)\Rightarrow a_{11}=-3+\left(10\right)\left(\frac{5}{2}\right)\Rightarrow a_{11}=-3+25\Rightarrow a_{11}=22$