This document discusses geometric sequences and provides examples. It defines a geometric sequence as a sequence where each term is found by multiplying or dividing the same value from one term to the next. An example given is 2, 4, 8, 16, 32, 64, 128, etc. The document also provides the general formula for a geometric sequence as {a, ar, ar2, ar3, ...} where a is the first term and r is the common ratio between terms. It gives practice problems for finding missing terms and the common ratio of geometric sequences.

2. Guess the
Riddle

7. GEOMETRIC
SEQUENCE

8. What is Geometric Sequence???
Geometric sequence is a sequence where
each term is found by multiplying or
dividing the same value from one term to
the next.

9. Example
2, 4, 8, 16, 32, 64, 128, …

10. In general, we could write a geometric sequence
like this:
{ a, ar, ar2, ar3, … }
where:
a is the first term, and
r is the factor between the terms

11. an = arn-1
Formula:

12. 10, 30, 90, 270, …
8, 4, 2, 1, ½, ¼, …

13. Find the nth term of the ff. sequence
1.) 5, 20, 80, 320, … a8
2.) 1/9, 1/3, 1, 3, … a9
3.) ½, ¼, 1/8, 1/16, … a10

14. Given the 4th term of
geometric sequence 40 and
7th term 320.
What is the 10th term?

15. 1. Find the missing term:
a. 2/9, 2/3, 2, 6, 18, … a8
b. 0.5, 3.5, 24.5, 171.5, … a7
c. 80, 40, 20, 10, 5, … a8
2. The 4th term of the geometric sequence is 27
and 7th term is 1. What is the 1st term?
3. The 1st term of the geometric sequence is 192
and the 5th term is 0.75. What is the common
ratio?
Solve the ff.:

16. Assignment:
1. What is Fibonacci sequence?
2. What is the formula of getting the nth term
of a Fibonacci sequence?
Reference: Intermediate Algebra pages 120-
121