Question

Which of the following is the $11th$ term of the A.P. : $-3,-\frac{1}{2},2,...$?

• A. $28$
• B. $22$
• C. $-38$
• D. $-48\frac{1}{2}$

Answer 1

The correct option is B $22$

First term, $a=-3$

Common difference, $d=\frac{-1}{2}-\left(-3\right)$

$=\frac{-1}{2}+3=\frac{-1+6}{2}=\frac{5}{2}$

Now,

$a_n=a+\left(n-1\right)d$

$a_n=-3+\left(11-1\right)\times \frac{5}{2}$

$=-3+25$

$a_{11}=22$