Name this sequence

Calculus Level 2

\[W=2+5x+9x^2+14x^3+20x^4+\cdots \]

Given \(|x|<1\), find the value of the series \(W\).

Clarification: \(2,5,9,14,20,\ldots\) follows a \(2^{\text{nd}}\)-degree polynomial function, i.e. their second finite difference is a constant.

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