Sequences and Series 11.3 Flashcards
1
Q
Geometric Sequence
A
A sequence in which you multiply by the same, constant number to get from one term to the next
2
Q
The constant number that you multiply by to get from one term to the next
A
Common Ratio (r)
3
Q
Formula/rule for geometric sequence
A
An= A1*r^n-1
4
Q
To write the rule for a geometric sequence, you need to know…
A
A1 and R
5
Q
In a geometric sequence, if two numbers have the same base…
A
Combine them and ADD the exponents.
ex:
An= (3)*(3)^n-1
goes to An= (3)^n
6
Q
In a geometric sequence, if you don’t know both A1 and R…
A
You need to set up a system of equations
7
Q
Geometric Series
A
The sum of the terms of a geometric sequence.
8
Q
Formula for finding the sum of a geometric series
A
Sn= A1*(1-(r)^n)) / (1-r)
