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If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

A. 53 B. 49 C. 57 D. 61 Answer: Option A
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Solution(By Apex Team)

$\begin{array}{l} T_{3}=a+2 d=13 \ldots(1) \\ T_{5}=a+4 d=21 \ldots(2) \\ \text { on solving }(1) \text { and }(2) \\ d=4 \& a=5 \\ T_{13}=a+12 d \\ \quad=5+12(4) \\ \quad=5+48 \\ \quad=53 \end{array}$

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