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Previous Year Question (PYQs)



The sum of $(n+1)$ terms of the series $\dfrac{C_0}{2} - \dfrac{C_1}{3} + \dfrac{C_2}{4} - \dfrac{C_3}{5} + \dots$ is





Solution

Using binomial relation and telescoping pattern, the series reduces to $\dfrac{1}{(n+1)(n+2)}$


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