Evaluate the sum of the series ∑n=1∞n25n\sum_{n=1}^{\infty} \frac{n^2}{5^n}∑n=1∞5nn2.
1532\frac{15}{32}3215
516\frac{5}{16}165
916\frac{9}{16}169
2564\frac{25}{64}6425