JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

The sum of the series

1 \cdot n + 1 + 2 \cdot \left( {n - 1} \right) + 3 \cdot \left( {n - 2} \right) \ldots + n \cdot 1

View answer and explanation

Correct option: A

\frac{{n\left( {n + 1} \right)\left( {n + 2} \right)}}{6}

Option A (

\frac{{n(n + 1)(n + 2)}}{6}

) is correct because it represents the sum of the series obtained by summing the product of terms in the form

r(n - r + 1)

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