Problem
What is the sum of \( 1, \frac{1}{5}, \frac{1}{25}, \frac{1}{125}, \ldots ? \)
Solution
Step 1 ：\(S = \sum_{n=0}^{\infty} \frac{1}{5^n}\)
Step 2 ：\(S = \frac{1}{1 - \frac{1}{5}}\)
Step 3 ：\(S = \frac{5}{4}\)
Step 1 ：\(S = \sum_{n=0}^{\infty} \frac{1}{5^n}\)
Step 2 ：\(S = \frac{1}{1 - \frac{1}{5}}\)
Step 3 ：\(S = \frac{5}{4}\)
