Sequences
What is the difference between an arithmetic and geometric sequence
Arithmetic sequences have a common difference between items and geometric sequences have a common ratio.
Given an=-7+an-1. What's missing?
What is the first term?
Given an=1(2)n , the first three terms are...
What is 2, 4, 8?
Exponential functions have a geometric or arithmetic relationship?
geometric
Given the formula y=a(b)^x, how will you know if the equation represents exponential decay rather than growth?
The b value will be between zero and 1(proper fraction)
pg8 #23
a(w)=507-7w
pg1 #1
39,366
pg 2 #2
A(n)=3/2*A(n-1)
A(1)=4
Why is explicit formulas more useful than recursive formulas?
What is the formula can be used to find any term you are looking for versus a recursive formula can't?
pg 6 #36
y=0.5(3.5)^x
pg7 #31 set up a function to model the situation
V(t)=500(0.922)^t
pg8 #24 Find just the model
P(t)=15000(2)^(t/21)
pg1 #3
Multiply each term by 3
pg 2 #5
Geometric because there is constant multiplier of 2
F(n)=F(n-1)*2, F(1)=100
100,200,400,800
pg 4 # 1(both parts)
A(n)=2*4^(n-1)
A(10)=2(4)^9=524,288
pg 6 # 37
y=98.5(1.024)^x
pg7 #32 Find the initial value
1.76
pg8 #24 Find how many people will be there in 75 years
P(75)=178,319
pg1 #2
9,565,938
pg 3 #6
Arithmetic b/c common difference of 2
F(n)=F(n-1)+2, F(1)=10
10,12,14,16
pg 4 # 2(both parts)
A(n)=-1+3(n-1)
A(15)=-1+3(14)=41
pg6 #38 parts a and b
A) June 29
B) Because on June 26 the lake would only be about 6.25% covered, not that impressive.
pg7 #32 Find the percent decrease
7.9%
pg8 #25 Solve both parts
f(t)=200(0.8)^t
f(4)=81.92 mg
pg1 #4 a-d
a) 91 cm^2
b) 45.5 cm^2
c) 91, 45.5, 22.75, 11.375
d) divide each term by 2(multiply by 1/2)
pg3 #7, just part 1(determine if GEO/ARITH/NEITHER and WHY)
Neither because it contains both constant addition AND multiplication
pg 5 EXIT TICKET Question 3
Use F(n)=F(n-1)*3 and F(1) as response for question 1.
f(n) = 1(3)^(n-1)
pg6 #38 part C
This does not solve the problem at all. With 1% left, it will be covered in less than 7 days.
pg7 #33 fill out the table to the right. Round to nearest tenth
0 1800
1 1300
2 938.9
3. 678.1
4. 489.7
pg8 #26 Create the model and determine how much initial air is remaining after 50 breaths
a(b)=500(1-0.12)^b
a(50)=500(0.88)^50
0.838 ml