If the sum of the coefficients of all the positive powers of x, in the Binomial expansion of (x^ n + 2/x^ 5 )^ 7 is 939, then the sum of all the possible integral values of n is _____.

JEE Main 2022 Mathematics question

If the sum of the coefficients of all the positive powers of x, in the Binomial expansion of is 939, then the sum of all the possible integral values of n is .

Answer: 57

Solution

The general term is . The sum of the coefficients of the terms with positive powers is , so the terms with r

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Question ID VK-034529