Name that type of sequence
Define the sequence for the nth term
Write the recursive definition
What is the nth term?
100
Is the following sequence arithmetic, geometric, or neither? Explain your reasoning
Arithmetic, points are on a straight line, so rate of change is constant
100
Define the following sequence for the nth term:
2, 3, 4.5, 6.75
f(n)=4/3(1.5)^n
or f(n) = 2(1.5)^(n-1)
100
Write the recursive definition of the following sequence:
f(1)=9, f(2)=5, f(3)=1, f(4)=-3
f(n)=f(n-1)-4,f(1)=9,n>1
100
What will be the 7th term in the following sequence (show or explain your work):
5, 10, 15, 20, ...
35
200
Is the following sequence arithmetic, geometric, or neither? Show or explain your reasoning.
1,4,10,22,...
Neither, no rate of change or growth factor
200
A sequence can be defined recursively by the following equation:
f(n)=f(n-1)+3, f(1) = 5, n>1
Find the equation for the nth term
f(n) = 3n +2, n>0
or f(n) = 3(n-1) +5, n>=1
200
Write the recursive definition of the sequence represented by the graph below:
f(n)=f(n-1)+5, f(1)=10, n>1
200
Find the 5th term in the following sequence (show or explain your work:
f(n) = f(n-1) * 3, f(1) = 5, n>1
Start at 5 and multiply by 3 until you reach 5th term: 5, 15, 45, 135, 405
405
300
Is the following sequence geometric, arithmetic, or neither? Show or explain your reasoning
Geometric, growth factor of 6
300
Define the sequence displayed in the graph below for the nth term: 
f(n)=3(2)^n, n>=0
or f(n)=3(2)^(n-1), n>=1
300
Write the recursive definition of the following sequence: 5, 20, 80, 320, ...
f(n) = f(n-1) * 4, f(1)=5, n>1
300
What will be the 10th term of the sequence below (show or explain your work):
f(n) = 3 (2)^(n-1)
1536
400
Is the following sequence arithmetic, geometric, or neither:
f(n) = f(n-1)/2, f(1)=7, n>1
Explain your reasoning
Geometric, dividing by the same number over and over same as multiplying by 1/2 over and over
400
A sequence can be defined recursively by the following:
f(1) = 8, f(n)= 3*f(n-1), n>1
What equation defines the sequence for the nth term?
f(n) = 8/3(3)^n
or f(n)=8(2)^(n-1)
400
Write the recursive definition of the following sequence:
f(n)=2(3)^n, n>=0
f(n)=f(n-1)*3, f(0)=2, n>0
400
Given the following sequence:
1, 4, 7, 10, ....
What will be the 200th term? Explain or show your work.
What is 598
500
First, determine if the sequence below is arithmetic, geometric, or neither. Then, write an equation for the nth term of the sequence. 
Neither, no rate of change or growth factor.
f(n) = n^2+4, n>0
500
Define the following sequence for the nth term (show or explain your work):
4, 10, 18, 28, ...
f(n)=n^2+3n
500
Given the following sequence:
1, 2, 8, 128, ...
Write the recursive definition
f(n)=2(f(n-1))^2
n>1, f(1)=1
500
Find the 15th term of the sequence below. You may round your answer to the nearest tenths place. Show or explain your work.
2, 2.4, 2.88, 3.456, ...
25.7