JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum of the series

\left( {1 + 2} \right)\left( {1 + 2 + {2^2}} \right) + \left( {1 + 2 + {2^2} + {2^3}} \right) + \ldots

up to

n

terms is

View answer and explanation

Correct option: A

{2^{n + 2}} - n - 4

Option A (

{2^{n + 2}} - n - 4

) is correct because the sum of the series can be simplified using the formula for the sum of a geometric progression.

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