3.5: Sequences and Series - Sum to Infinity Flashcards
1
Q
The terms of a series are getting larger, so…
A
as n tends to infinity, Sn also tends to infinity. this is a divergent series
2
Q
The terms of a series are getting smaller, so…
A
as n tends to infinity, Sn gets closer to a finite value. this is a convergent series
3
Q
A geometric series is convergent only if…
A
|r| < 1, where r is the common ratio
4
Q
What is the formula for the sum to infinity in a convergent geometric series?
A
a / 1 - r
