Rules
Growth vs Decay
Sequences
Scientific Notation
100
(x3x9)(2x10)
2x22
100
What are the functions for growth and decay
y=a(1+/-b)x
100
What is the formula for geometric sequences?
an=a1*rn-1
a1=1st term
n=#of term in question
r= common ratio
100
Write 45,000 in scientific notation.
4.5*103
200
(x5c3w2)3
x15c9w6
200
A new car is purchased for $30,000 and depreciates at a rate of 15% per year. The value of the car after t years can be modeled by:
V(t)=30000(0.85)t
200
A geometric sequence has the first three terms:
4,12,36,…
Find the common ratio and the 7th term in the sequence.
Provide your formula
2916
200
Convert 0.00032 to scientific notation
3.2*10-4
300
(x8z-5 a3)4/(x7z3a-2)
x25a14/z23
300
A city has a population of 50,000 people, and it grows at a rate of 3% per year. The population after t years can be modeled by?
For bonus 100
find the population after 11 years
P(t)=50000(1+0.03)t
300
Find the sum of the first 6 terms of a geometric series where:
- a1=4
- r=0.5r
Hint- set up the formula first, then find your terms
~7.85
300
(3.5*104)(2*10-2)
7.0*102
400
(1/2x74z4y-8)3 (3x5z3y2)
24x26z15/y22
400
A radioactive substance has a half-life of 8 years. If there were initially 500 grams, write the exponential decay function and determine how much remains after 20 years.
A(t)=500(1/2)8
400
A geometric sequence has a first term of 6 and a common ratio of -2.
Find the 5th term of the sequence.
96
400
(4.2×105)+(6.8×104)
4.88*105
500
(5x3y-3)4(2x6y4)/10x5y-10
125x13y2
500
Which two are decay functions?
the two bottom ones
500
For the first 3yrs the deprecation of a new car is:
25000,5000,1000
find the 10th term
671.09
500
(3.5*104)(2*10-2)/4.2*103
1.67*10-1