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Mathematics · 2022

JEE Main · 27 July 2022, Shift 2 · Q7

Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5. Let the sum of its first five terms be 98/25. Then the sum of…

Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5. Let the sum of its first five terms be $\displaystyle \frac{98}{25}$. Then the sum of the first $\displaystyle 21$ terms of an AP, whose first term is $\displaystyle 10 \mathrm{ar}, \mathrm{n}^{\text {th }}$ term is $\displaystyle \mathrm{a}_{\mathrm{n}}$ and the common difference is $\displaystyle 10 \mathrm{ar}^2$, is equal to :
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