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Question

Mathematics Question on Principle of Mathematical Induction

The value of the sum of 10 term of the series
S10=1221+1421+1621+...S_{10}=\frac{1}{2^2-1}+\frac{1}{4^2-1}+\frac{1}{6^2-1}+...

A

1121\frac{11}{21}

B

910\frac{9}{10}

C

2110\frac{21}{10}

D

1021\frac{10}{21}

Answer

1021\frac{10}{21}

Explanation

Solution

The correct option is (D):1021\frac{10}{21}.