
Directions: These questions will ask you to write formulas for sequences. While one solution is offered, be aware that there are other notations and forms that may also be acceptable.
1. 
Given the sequence: {6, 16, 26, 36, ...}
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.



2. 
Given the following sequence:
n 
1 
2 
3 
4 
... 
f (n) 
2 
4 
8 
16 
... 
a)
Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.



3. 
An explicit formula for a sequence is
f (n) = (1)^{n} • 2.
a) List the first 5 terms of this sequence.
b) Write a recursive formula for this sequence.



4. 
Given the sequence: {1, 4, 9, 16, ...}
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.



5. 
Given the sequence: {1, 5, 25, 125, ...}
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.



6. 
Given the sequence: {10, 2, 6, 14, ...}
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.





7. 
Given the sequence:
a) Write an explicit formula for this sequence.
b) Write a recursive formula for this sequence.



8. 
Given the sequence: a_{1} = 6 and a_{n+}_{1} = a_{n} + 4
a) List the first 5 terms of this sequence.
b) Write an explicit formula for this sequence.



9. 
Given the sequence: a_{1} = 20 and a_{n}= a_{n1} ÷ 2
a) List the first 5 terms of this sequence.
b) Write an explicit formula for this sequence.



10. 
Given: f (1) = 3 and f (n) = f (n1) + 2
a) List the first 5 terms of this sequence.
b) Write an explicit formula for this sequence.



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