JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum upto

\left( {2n + 1} \right)

terms of the series

{a^2} - {\left( {a + d} \right)^2} + {\left( {a + 2d} \right)^2} - {\left( {a + 3d} \right)^2} + \ldots ,

View answer and explanation

Correct option: D

{a^2} + 2nad + n\left( {2n + 1} \right){d^2}

Option C (

{a^2} + 2nad + n\left( {2n + 1} \right){d^2}

) is correct because the sum of the series can be simplified and expressed in the given form.

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