Answer:
Step-by-step explanation:
Hello,
"Find the sum of the following infinite geometric series"
infinite
We will have to find the limit of something when n tends to
geometric series
This is a good clue, meaning that each term of the series follows a geometric sequence. Let's check that.
The sum is something like
First of all, we need to find an expression for
First term is
Second term is
Then
and...
Ok we are good, we can express any term for k integer
So, for n positive integer
And the limit of that expression when n tends to is
as
Hope this helps.
Do not hesitate if you need further explanation.
Thank you