JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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2 \times {2^2} + 3 \times {2^3} + 4 \times {2^4} + \ldots + n \times {2^n} = {2^{n + 10}},

then

n =

View answer and explanation

Correct option: C

513

Option C (513) is correct because by manipulating the given equation and using properties of geometric series, we find that n = 513.

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