geometric sequence

GEOMETRIC

SEQUEN

CE

Guess the

Riddle

GEOMETRIC SEQUENCE

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.

Example

2, 4, 8, 16, 32, 64, 128, …

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

an = arn-1

Formula:

10, 30, 90, 270, …

8, 4, 2, 1, ½, ¼, …

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

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

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.:

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