Find the sum of the series ∑n=0∞(0.5)n(0.2)n\sum_{n=0}^{\infty} (0.5)^n (0.2)^n∑n=0∞(0.5)n(0.2)n.
109\frac{10}{9}910
910\frac{9}{10}109
54\frac{5}{4}45
45\frac{4}{5}54