JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

If the sum of the first ten terms of the series

{\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 \ldots

\frac{16}{5} m

, then

m

is equal to

View answer and explanation

Correct option: B

101

Option B (101) is correct because after simplifying the series and using summation formulas, the value of m is found to be 101.

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