Cube over power of three sum!

Calculus Level pending

The value of \[ \sum_{i=1}^n \frac{i^3}{3^i} \] When \( n\) approaches infinity can be expressed as an improper fraction \( \frac{a}{b} \) while \( a\) and \( b \) are positive integers which are relatively prime. Find \( a+b \).

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