Explicit Form
"Nth" Term
Recursive
Mystery Box
Review
100
Name the explicit formula for an arithmetic sequence.
What is
y=mx+b
?
100
Determine the factor of the following sequence.
A_n=36(-7)^(n-1)
What is -7?
100
Determine if the following sequence is arithmetic or geometric.
f(1)=42, f(n)=f(n-1)*4
for
n>=2
.
What is geometric?
100
Determine the domain of the following sequence:
A(1)=3, A(n)=32*A(n)-12
for
n>=2
.
What is x>=2 ?
100
Determine the type of function based on the following points.
What is exponential?
200
Write the first five numbers in the following sequence.
y=4/5x-5
What is
-5, -4 1/5, -3 2/5, -2 3/5, -1 4/5
?
200
Put the following into
N^(th)
term formating.
A_1=4, A_n=A(n-1)+12 for n>=2 .
What is
A_n=12(n-1)+4
?
200
Determine the starting point of the following sequence
Z(1)=2/3, Z(n)=3Z(n-1)+2
for n>=2 .
What is
2/3
?
200
Little Billy went for a run and lost his breath. As he recovers, his breathing slows by 3 less breaths per minute. If he starts with 30 breaths per minute, articulate the asthmatic arithmetic sequence in recursive form.
What is
f(1)=30, f(n)=f(n-1)-3
for
n>=2
?
200
A savings account starts at $400. It has a yearly interest rate of 5%, compounded daily. If no extra money (other than what interest gathers) is put into the account the will total after 3 years is...
What is $464.73?
300
What is the explicit formula for an equation with an initial value of 13 and a factor of 3/4.
What is
y=13(3/4)^x
?
300
Find A_8 for the following function
A_n=3(n-1)-7
.
What is 14?
300
Write the recursive formula for the following sequence {3,11,19,27,...}.
What is
A(1)=3, A(n)=A(n-1)+8
for
n>=2
?
300
Write the explicit form for the following sequence g(1)=23, g(n)=4g(n-1) for
n>=2
.
What is
y=23(4)^n
?
300
A new online music service has a collection of 1,200 songs. It expects to quadruple the number of songs each year for the next few years. The number of songs the store will have after -2 years.
What is 75?
400
Determine the two possible explicit formulas for the following sequence: 5/2, 25
What is y=22.5x+2.5, and
y=2.5(10)^x
?
400
Write the sequence in N^(th) form for the following.
What is
A_n=1(3)^(n-1)
?
400
Write the recursive formula for the following function.
What is
A(1)=5, A(n)=A(n-1)+4
for
n>=2
?
400
Write the explicit formula for the following situation.
500 is compounded daily with an annual interest rate of 7.5%. This happens for four years.
What is y=500(1+0.075/365)^(365*4) ?
400
The values for x when y=4 in the following equation.
y=|4x-2|-6
What is x=-2 and 3?
500
Given the following sequence determine n=5:
y=|-4x+5|-7
What is 8?
500
Write the sequence for the following situation: the difference between the previous two terms multiplied by 3. The initial number is 12.
What is A_n=3(A(n-2)-A(n-1)) ?
500
Tell me the reason we always end recursive from with "for
n>=2
"
What is, so that the first input is always 1?
500
What is the domain and range for the following sequence:
A_n=5*(3/4)^(n-1)
.
What is domain is x>0 and range is y>0?
500
The definition of the upper fence in statistics.
What is the number cut off where any data point large than it will be an outlier?