Sum to \( n \) terms the following series : \[ 1^{3}+\frac{1^{3}+2^...

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Sum to \( n \) terms the following series :
\[
1^{3}+\frac{1^{3}+2^{3}}{2}+\frac{1^{3}+2^{3}+3^{3}}{3}+\ldots
\]
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