How do you find the sum of the infinite geometric series 1-2+4-..+1024?
1 Answer
Dec 2, 2015
Apply the geometric series formula to find
Explanation:
Given a geometric series with initial value
(See What is the formula for the sum of a geometric sequence? for a proof)
In our exercise, the first term is clearly
Finally, we can find that
Thus, applying the formula gives us