The sum of (x+2)^ n-1 +(x+2)^ n-2 (x+1)+(x+2)^ n-3 (x+1)^2+ +(x+1)^ n-1 is equal to

JEE Main Mathematics question

The sum of is equal to

Answer: (C)

The terms form a GP with terms, first term and common ratio . The sum is

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Question ID VK-021740