JEE Main 2022 Mathematics question
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 .
Answer: 276
Solution
The r-th term is (4r^{4}((2r^{2}1)^{2}(2r)^{2})((2r^{2}1)(2r^{2}(2r^{2}$ - 2r + 1)
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