Evaluate the sum of the geometric series: ∑n=0∞(58)n\sum_{n=0}^{\infty} \left(\frac{5}{8}\right)^n∑n=0∞(85)n
58\frac{5}{8}85
83\frac{8}{3}38
111
The series diverges because 58>0\frac{5}{8} > 085>0.