### The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

A. -29 B. -41 C. -47 D. -35 Answer: Option D

### Solution(By Apex Team)

$\begin{array}{l}\mathrm{T}_3=\mathrm{a}+2\mathrm{~d}=13\ldots\ldots(1)\\ \mathrm{T}_6=\mathrm{a}+5\mathrm{~d}=-5\ldots\ldots(2)\\ \text{ on }\text{ solving }(1)\text{ and }(2)\\ \mathrm{\ d}=-6\&\mathrm{a}=25\\ \mathrm{~T}_{11}=\mathrm{a}+10\mathrm{~d}\\ \quad=25+10(-6)\\ \quad=-35\end{array}$

A. 22
B. 25
C. 23
D. 24

A. 5
B. 6
C. 4
D. 3

A. -45
B. -55
C. -50
D. 0