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The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

A. 28 B. 87 C. 51 D. 17 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l} T_{3}=a+2 d=-9 \ldots(1) \\ T_{7}=a+6 d=11 \ldots(2) \\ \text { on solving }(1) \text { and }(2) \\ d=5 \& a=-19 \\ T_{15}=a+14 d \\ \quad=-19+14(5) \\ \quad=51 \end{array}$

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