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The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

A. 25 B. 29 C. 21 D. 33 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l}\mathrm{T}_7=\mathrm{a}+6\mathrm{~d}=-15\ldots\ldots\text{ (1) }\\ \mathrm{T}_{12}=\mathrm{a}+11\mathrm{~d}=5\ldots\ldots\text{ (2) }\\ \text{ on solving }(1)\text{ and }(2)\\ \mathrm{d}=4\&\mathrm{a}=-39\\ \mathrm{~T}_{16}=\mathrm{a}+15\mathrm{~d}\\ \quad=-39+15(4)\\ \quad=-39+60\\ \quad=21\end{array}$

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