Unit 1 Lesson 2

Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

• 6, 10, 16

• 6, 8, 11

• 2, 1, 0.5

• 8, 16, 32

What is the growth factor of 1, 1, 1, 1, 1

What is the growth factor of 256, 128, 64

What is the growth factor of 18, 54, 162

What is the growth factor of 0.8, 0.08, 0.008

What is the growth factor of 0.008, 0.08, 0.8

A person owes $1000 on a credit card that charges and interest rate of 2% per month. How much will they owe after 8 months if they do now make any payments?

A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the triangle into 4 congruent equilateral triangles, and then removing the middle triangle. Starting from a single black equilateral triangle with an area of 256 square inches, here are the first four steps: Complete the table by writing the number of shaded triangles in order and then the area of each shaded triangle.

Here are two graphs representing the table in the previous question. How are these graphs the same? How are they different?

Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. Starting with the number 10, what would the sequence of the next 5 numbers be?

• 10, 18, 42, 114, 330

• 10, 26, 74, 218, 650

• 18, 42, 114, 330

• 26, 74, 218, 650