### The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?

A. 56 B. 65 C. 59 D. 62 Answer: Option D
\begin{array}{l} \begin{array}{l} \left.T_{2}=a+d=8 \ldots \ldots \text { ( } 1\right) \\ T_{6}=a+5 d=20 \ldots \ldots \text { (2) } \end{array}\\ \text { on solving (1) and (2) }\\ d=3 \& a=5\\ \begin{aligned} T_{20} &=a+19 d \\ &=5+19(3) \\ &=62 \end{aligned} \end{array}