JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

\sum\limits_{{r=1}}^n r^2-\sum\limits_{{m=1}}^n \sum\limits_{{r=1}}^m r

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}\left\{\sum\limits_{{r=1}}^n r^2-\sum\limits_{{r=1}}^n r\right\}

Option C (

\frac{1}{2}\{\sum\limits_{{r=1}}^n r^2-\sum\limits_{{r=1}}^n r\}

) is correct because it is the simplified form of the given expression after evaluating the inner summation.

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