Sequences
Is this sequence arithmetic or geometric?
3, 6, 12, 24, ...
Geometric
The population of deer on a forest preserve is increasing by 3% each year.
Does this represent exponential growth or decay?
Exponential Growth
Factor this expression:
x2 + 4x + 4
(x+2)(x+2)
Here is a formula for a sequence: t(n) = 4n + 13
What is the 81st term in this sequence?
337
Does the function f(x) = 4 · (0.5)ˣ represent exponential Growth or Decay? Why?
Decay - The base/multiplier/common ratio is 0.5 , which is less than 1.
Factor this expression
x2 - 9
(x + 3)(x - 3)
What is the common ratio in this sequence?
125, 100, 80, 64, ...
0.8
A colony of bacteria from someones breakfast they forgot to clean up is tripling every hour. There were only 50 bacteria to begin with. Write an equation showing how many bacteria their are after n hours.
t(n) = 50(3)n
Factor this expression:
2x² + 7x + 3
(2x + 1)(x + 3)
Write a formula for this sequence.
3, 6, 12, 24, ...
t(n) = 1.5 x (2)n
The population in Ohio is increasing by around 0.9% each year. Daleah wants to write an equation that represents this trend. What is the multiplier?
1.009
Factor this expression:
3x² − 10x + 8
(3x - 4)(x - 2)
An arithmetic sequence has a starting value of 10 and the 5th term is 40. What is the common difference?
6
A bank account has $100 and earns 6% interest. Write an equation to show how much money is in the account after 3 years.
t(n) = 100 (1 + 0.06)3
Factor (Don't forget a GCF)
5x³ − 20x