The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is

Answer Details

This is a geometric series with first term 1 and common ratio 1/3. The formula for the sum of an infinite geometric series is S = a/(1-r), where a is the first term and r is the common ratio. Plugging in the values, we get S = 1/(1 - 1/3) = 3/2. Therefore, the answer is 3/2.