Mathematical Induction and Infinite Geometric Series Flashcards
1
Q
What is an Infinite Geometric Series?
A
An infinite geometric series has infinitely many terms.
2
Q
What is a Convergent Series?
A
When |r|
3
Q
What is a Divergent Series?
A
When |r| ≥ 1 and the partial sum does not approach a fixed number, the series is said to diverge.
4
Q
What is the Formula for the Sum of a Convergent Series?
A
S=a1 divided by 1-r. r is the constant ratio.
5
Q
What is Mathematical Induction?
A
Mathematical induction is a proof verifying a mathematical statement.