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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If the sum of series 11⋅(1+d)+1(1+d)(1+2d)+……+1(1+9d)(1+10d)\frac{1}{1 \cdot(1+d)}+\frac{1}{(1+d)(1+2 d)}+\ldots \ldots +\frac{1}{(1+9 d)(1+10 d)} is equal to 5, then 50d50 {d} is equal to:
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Correct option: B
5
Option B (5) is correct because the value of 50d is 5, which is obtained by simplifying the given series and solving for d.

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