Geometric Series
Geometric Series
A geometric series is an infinite sum of the form (often the series starts with 1). In this Demonstration the ratio , so this sum is +++…, which sums to 1. Zoom in to see that there is always a gap between any partial sum and 1. Zooming in too far shows no terms on the right.
r+++…
2
r
3
r
r=
1
2
1
2
1
4
1
8