Geometric Sequences and Series Flashcards
1
Q
What is a Geometric Sequence?
A
In a geometric sequence, the ratio of successive terms is a constant called the common ratio r (r cannot equal 1).
2
Q
What is the Formula for Geometric Sequences?
A
a(subscript)n=(a(subscript)1)r^n-1.
3
Q
What is Geometric Mean?
A
Geometric means are the terms between any two nonconsecutive terms of a geometric sequence. The formula is Geometric Mean = sqrt(ab). (In example, the Geometric Mean of 1/2 and 1/18 is 1/6.)
4
Q
What is the Geometric Sequence?
A
The indicated sum of the terms of a geometric sequence is called geometric series.