+0  
 
0
61
2
avatar

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.

 Jan 6, 2021
 #1
avatar+1247 
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

 Jan 6, 2021
 #2
avatar
0

Good job CoolStuffYT!

-Grace

Guest Jan 6, 2021

27 Online Users

avatar