Sum to infinity of an infinite GP (Infinite sum exists only if |r|<1; then S = a/(1−r))
jee-mainjee-advanced
Infinite sum exists only if |r|<1; then S = a/(1−r)
What each symbol means
| Symbol | What it stands for |
|---|---|
| a | First term |
| r | Common ratio |
When to use this
Convergent only for |r|<1; for |r|≥1 the series does not converge (except trivial a=0).