Find the sum of the first six terms of the geometric sequence 1/2, 1/6, 1/18, ... Express your answer as a common fraction.

Guest Jan 6, 2021

#1**0 **

**Answer: 182/243**

**Explanation:**

The common ratio is 1/3, because 1/2 * 1/3 = 1/6.

So listing them out, we get 1/2, 1/6, 1/18, 1/54, 1/162, 1/486. Adding these up gets us 364/486 which simplifies to 182/243.

You are very welcome!

:P

CoolStuffYT Jan 6, 2021