JEE Main Mathematics question

MathematicsBinomial TheoremJEE Main

The value of the sum of the series 3\cdot{}^nC_0-8\cdot{}^nC_1+13\,{}^nC_2-18\cdot{}^nC_3+\ldots upto terms is

Answer: (A)

Solution

The term is , so the sum is . For both sums vanish:

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Question ID VK-021015