Warm Up

In the Practice Workbook…

Practice 8-8 (p. 110)

# 4 a – d

Questions?

Assignment

In the textbook…

p. 443 # 43 – 47, 52

Warm Up

In the textbook…

p. 709

# 55, 57, 66, 67, 69 – 71

Questions?

Geometric Sequences

Objective: To learn to identify and write a function rule for geometric sequences.

sequence – a continuous series of numbers ordered according to a pattern.

term – any number in a sequence.

Find the next two terms in the sequence?

1) 1, 5, 9, 13, ____, ____, …

2) 1, 3, 9, 27, ____, ____, …

3) 8, 3, -2, -7, ____, ____, …

4) 2, -4, 8, -16, ____, ____, …

5) 1, 2, 6, 24, ____, ____, …

Geometric Sequence

• is a sequence formed by multiplying a fixed number to each previous term.

Geometric Sequence?

1) 1, 5, 9, 13, 17, 21, … Yes or No

2) 1, 3, 9, 27, 81, 243, … Yes or No

3) 8, 3, -2, -7, -12, -17, … Yes or No

4) 2, -4, 8, -16, 32, -64, … Yes or No

5) 1, 2, 6, 24, 120, 720, … Yes or No

Function Rule for an Geometric Sequence

Find the 1st, 4th, and 8th term of the sequence.

Write the function rule for the geometric sequence.

1, 3, 9, 27, 81, 243, …

Write the function rule for the geometric sequence.

2, -4, 8, -16, 32, -64, …

Write the function rule for the geometric sequence.

100, 50, 25, 12.5, 6.25, …

Practice!

Find the common ratio for each geometric sequence then write the function rule.

1) 2, 8, 32, 128, …

2) 7, -17.5, 43.75, -109.375, …

3) 81, 27, 9, 3, …

Apply!

You drop a rubber ball from a height of 1 meter and it bounces back to lower and lower heights. Each curved path has 80% the height of the previous path.

1) Write a rule for the height of each successive path.

2) What height will the ball reach at the top of the fifth path?

Assignment

In the textbook…

p. 427 # 1 – 29 odd