JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of the series

1 + 3x + 6{x^2} + 10{x^3} + ...\infty

will be

View answer and explanation

Correct option: D

\frac{1}{{{{\left( {1 - x} \right)}^3}}}

Option D (

\frac{1}{{{{\left( {1 - x} \right)}^3}}}

) is correct because it is derived by using the method of difference to simplify the series.

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