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 DShow Answer
Solution(By Apex Team)
$\begin{array}{l}
\begin{array}{l}
\left.T_{2}=a+d=8 \ldots \ldots \text { ( } 1\right) \\
T_{6}=a+5 d=20 \ldots \ldots \text { (2) }
\end{array}\\
\text { on solving (1) and (2) }\\
d=3 \& a=5\\
\begin{aligned}
T_{20} &=a+19 d \\
&=5+19(3) \\
&=62
\end{aligned}
\end{array}$
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