Mathematics · 2022
JEE Main · 27 June 2022, Shift 1 · Q27
If the sum of the first ten terms of the series 1/5+2/65+3/325+4/1025+5/2501+… is m/n, where m and n are co-prime numbers, then m + n is equal to \ \…
If the sum of the first ten terms of the series
$$\frac{1}{5}+\frac{2}{65}+\frac{3}{325}+\frac{4}{1025}+\frac{5}{2501}+\ldots
$$
is $\displaystyle \frac{\mathrm{m}}{\mathrm{n}}$, where m and n are co-prime numbers, then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to \_\_\_\_.
Official answer
276
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.