Answer
$\sum_{i=1}^{n}\dfrac{i}{9^i}$
Work Step by Step
Since, we have $\dfrac{1}{9}+\dfrac{2}{9^2}+\dfrac{3}{9^3}+.......+\dfrac{n}{9^n}$
This can be summed up with the summation notation as:
$\sum_{i=1}^{n}\dfrac{i}{9^i}$
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