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Question

Mathematics Question on Principle of Mathematical Induction

Sum of the series 113.12+14+213.22+24+313.32+34\frac {1}{1-3.1^2+1^4}+\frac {2}{1-3.2^2+2^4}+\frac {3}{1-3.3^2+3^4} upto 1010 terms is _____ .

A

55109-\frac {55}{109}

B

55109\frac {55}{109}

C

45109\frac {45}{109}

D

45109-\frac {45}{109}

Answer

55109-\frac {55}{109}

Explanation

Solution

The correct option is (A): 55109-\frac {55}{109}