JEE Main 2016

JEE Main 2016 Mathematics question on Sequences and Series

If the sum of the first ten terms of the series (135)2+(225)2+(315)2+42+(445)2+…\left(1\frac{3}{5}\right)^2 + \left(2\frac{2}{5}\right)^2 + \left(3\frac{1}{5}\right)^2 + 4^2 + \left(4\frac{4}{5}\right)^2 + \ldots is 165m\frac{16}{5}m, then mm is equal to
  1. A.
    102
  2. B.
    101
  3. C.
    100
  4. D.
    99
Show answer

Correct option: B

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