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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
Let the sum of an infinite G.P., whose first term is a and the common ratio is rr, be 5 . Let the sum of its first five terms be 9825\frac{98}{25}. Then the sum of the first 21 terms of an AP, whose first term is 10ar,nth 10 \mathrm{ar}, n^{\text {th }} term is ana_n and the common difference is 10ar210 ar^2, is equal to
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Correct option: A
21a1121 a_{11}
Option A (21a1121 a_{11}) is correct because after solving for the common ratio and substituting into the sum of the AP, the result simplifies to 21a1121 a_{11}.

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