JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of

n

terms of the following series

1.2+2.3+3.4+4.5+\ldots

shall be

View answer and explanation

Correct option: B

\frac{1}{3} n(n+1)(n+2)

Option B (

\frac{1}{3}n(n+1)(n+2)

) is correct because it represents the sum of the series 1.2 + 2.3 + 3.4 + ... to n terms, obtained by summing the general term n(n+1).

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