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The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

A. -29 B. -41 C. -47 D. -35 Answer: Option D
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Solution(By Apex Team)

$\begin{array}{l}\mathrm{T}_3=\mathrm{a}+2\mathrm{~d}=13\ldots\ldots(1)\\ \mathrm{T}_6=\mathrm{a}+5\mathrm{~d}=-5\ldots\ldots(2)\\ \text{ on }\text{ solving }(1)\text{ and }(2)\\ \mathrm{\ d}=-6\&\mathrm{a}=25\\ \mathrm{~T}_{11}=\mathrm{a}+10\mathrm{~d}\\ \quad=25+10(-6)\\ \quad=-35\end{array}$

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