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The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

A. -22 B. -25 C. -19 D. -28 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l} \begin{array}{l} T_{2}=a+d=17 \ldots \ldots \text { (1) } \\ T_{8}=a+7 d=-1 \ldots \ldots \text { (2) } \end{array}\\ \text { on solving (1) and (2) }\\ d=-3 \& a=20\\ \begin{aligned} T_{14} &=a+13 d \\ &=20+13(-3) \\ &=-19 \end{aligned} \end{array}$

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