SOLUTION: What is the sum of the following infinite series: (1/6) + (13/6^2) + (19/6^3) + (97/6^4) + ... + ((3^n) + (-2)^n) / (6^n)

Algebra ->  Sequences-and-series -> SOLUTION: What is the sum of the following infinite series: (1/6) + (13/6^2) + (19/6^3) + (97/6^4) + ... + ((3^n) + (-2)^n) / (6^n)      Log On


   

Question 1191251: What is the sum of the following infinite series: (1/6) + (13/6^2) + (19/6^3) + (97/6^4) + ... + ((3^n) + (-2)^n) / (6^n)
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

When a teacher gives you such problem, it is assumed that you have a prerequisite and are able
to sum up an infinite geometric progression.

So, split the given sequence into the sum of two infinite geometric progressions.

Prove to yourself and to all around you that you know the necessary prerequisite.


If you don't know prerequisite, it means that you are in wrong class.