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The sum of 10 terms of the series \(\frac{3}{1^2 \times 2^2}+\frac{5}{2^2 \times 3^2}+\frac{7}{3^2 \times 4^2}+\ldots\) …

Q1

The sum of 10 terms of the series

\(\frac{3}{1^2 \times 2^2}+\frac{5}{2^2 \times 3^2}+\frac{7}{3^2 \times 4^2}+\ldots\) is

[JEE Main 2021, 31 Aug (Shift 1)]

a

\(\frac{120}{121}\)

b

1

c

\(\frac{143}{144}\)

d

\(\frac{99}{100}\)

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