Download Section 8.6

Section 8-6
Geometric Sequences
I can form a geometric sequence and
use formulas when describing
geometric sequences.
Check Skills You’ll Need
Find the common difference of each sequence.
1.
3.
2.
4.
Use inductive reasoning to find the next two numbers in each pattern.
5.
6.
7.
8.
A number pattern is also called a sequence, and each number in a sequence is a _____________
of the sequence.
In a ___________________ sequence, the ratio between consecutive terms is constant.
This ratio is called the ____________________ ratio. It is found by taking one term of the
sequence and dividing it by the term directly preceding it.
Example #1
Finding the Common Ratio
Find the common ratio of each sequence.
a.
b.
You try…
a.
b.
c.
Example #2
Finding the Next Terms in a Sequence
Find the next three terms of the sequence.
You try…
a.
b.
Example #3
Arithmetic or Geometric Sequence?
c.
Determine whether each sequence is arithmetic or geometric.
a.
b.
You try…
a.
b.
Rule
c.
Geometric Sequence
You can use the common ratio of a geometric sequence to write a function rule for the sequence.
Consider the sequence 2, 6, 18, 54, ….
Write a rule:
Example #4
Finding Terms of a Sequence
Find the first, fifth and tenth terms of the sequence that has the rule
Find the first, sixth and twelfth terms of the sequence that has the rule
Homework:
Pg. 463
#1-27 Odds, 30-35 All