IM Alg2.1.2 Practice: Introducing Geometric Sequences
Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?
What is the growth factor of each geometric sequence?
1,1,1,1,1
256, 128, 64
18, 54, 162
0.8, 0.08, 0.008
0.008, 0.08, 0.8
A person owes $1000 on a credit card that charges an interest rate of 2% per month. Complete this table showing the credit card balance each month if they do not 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 this table showing the number of shaded triangles in each step and the area of each triangle.
Graph the number of shaded triangles as a function of the step number, then separately graph the area of each triangle as a function of the step number.
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, build a sequence of 5 numbers.
Starting with the number 1, build a sequence of 5 numbers.
Select a different starting number and build a sequence of 5 numbers.
A sequence starts 1, -1,...
Give a rule the sequence could follow and the next 3 terms.
Give a different rule the sequence could follow and the next 3 terms.