Find the sum of the given infinite geometric series if possible.
The Answer is 0.5. How do I solve this to get to the answer
The geometric series formula is
Your sum is:
Notice the indices go from to We want it to go from to so that we can use the geometric series formula.
The term is
So I both added (by changing the sum from to ) and subtracted
Now, apply the formula for the geometric series on where and