JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of

(x+2)^{n-1}+(x+2)^{n-2}(x+1)+(x+2)^{n-3}

(x+1)^2+\ldots+(x+1)^{n-1}

is equal to

View answer and explanation

Correct option: C

(x+2)^x-(x+1)^n

Option C (

(x+2)^x-(x+1)^n

) is the correct answer because the given series is a geometric progression sum that simplifies to the expression.

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