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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
132−1+152−1+172−1+....+1(201)2−1\frac{1}{{{3^2} - 1}} + \frac{1}{{{5^2} - 1}} + \frac{1}{{{7^2} - 1}} + .... + \frac{1}{{{{(201)}^2} - 1}} is equal to
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Correct option: B
25101\frac{{25}}{{101}}
Option B (25/101) is correct because the sum can be expressed as a telescoping series and simplified.

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