Sequences
Below is a list of the first 5 terms in a sequence:
1, 7, 13, 19, 25
Write an equation nt that could be used to calculate the t term of the sequence
nt=1+(n-1)(6)
log1010=
1
log2x=2
x=4
Simplify: log10+log10=
log100
What is the domain and range of the parent function of log?
d:(0, infinity)
r: all real numbers
Below is the first three terms in a pattern. If the fourth term is 162, which of the equations below could be used to calculate the t term?
6, 18, 54
(1) rt = 6(3)^t
(2) rt = 2(3)^t
(3) rt = 2 + 4t
(4) rt = 1(2)^t
2)
log51/5=
-1
log4(x+2)=2
x=14
Simplify: log345-log35=
log39
What is one point on the log function parent graph?
The sequence is 9,5,1,-3
What is the recursive function nt?
n(t+1)= nt-4
log1000=
3
If g(x)=ln(x^2/4) then what is g(e^2)
Simplify: 5log126=
log1265
What is the domain of log4(x-3)-5?
(3, infinity)
A sunflower is 9 inches tall after 2 weeks and then grows at a rate of five inches per week over the next month. Which of the following is a recursive function that could be used to calculate the height of the sunflower, hm, based on the number of months.
(A) hm = 9 + 5(m − 2)
(B)hm = 9 + 5m
(C) h2 = 9 , hm = (hm−1) + 5
(D) h2 = 9 , hm = 5(hm−1)
c
log33∛3=
4/3
What is the solution to 7(4)^2-7x=7
2/7
Simplify: log5√5/log5=
log55√5=
What is the carrying capacity of 1000/1+5e^2
1000
Justin buys a car for $15,000 and each year, the car depreciates by 9% due to wear and tear. Write a recursive function that could be used to calculate the value, v, of the car based on the amount of time that has passed, t.
v0= 15000 v(t+1)=.91vt
log425√8=
4/5
log63x-2=2
x=34/3
1) a+b
2) 2ab
3)2a+b
4) a+2b
3 or 4
What are the asymptotes and range and domain for f(x)=log(base 5)x
VA=0 D:0,infinity) R:(- infinity, infinity)