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.
+1252 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
