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JEE Main Mathematics question

MathematicsBinomial TheoremJEE Main

If the sum of the coefficients of all the positive powers of , in the Binomial expansion of is , then the sum of all the possible integral values of is

Answer: 57

Solution

The general term is with coefficients for , totalling ; the terms with non-positive powers must therefore sum to . , so

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Question ID VK-021384