JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of the series

1+3 x+6 x^2+10 x^3+\ldots \infty

, is

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because it represents the sum of the series

1+3 x+6 x^2+10 x^3+\ldots \infty

, which is derived by successive differences of terms.

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