The sum of 10 terms of the series $\frac{3}{1^{2} \times 2^{2}} + \frac{5}{2^{2} \times 3^{2}} + \frac{7}{3^{2} \times 4^{2}} + ......$ is? [JEE Main 2021, 31 Aug (Shift 1)]

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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 …

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