Arithmetic and Geometric Sequences

What is the next term in the arithmetic sequence?

$$3,\ 9,\ ...$$  

What is the next term in the geometric sequence?

$$3,\ 9,\ ...$$  

What is the common ratio of the geometric sequence?

$$10,\ 20,\ ...$$  

What is the common difference of the arithmetic sequence?

$$10,\ 20,\ ...$$  

What is the value of $$a_4$$  ?

48, 12, 3, 0.75, ...

What is the recursive formula for the sequence?

$$23,\ 17,\ 11,\ 5,\ ...$$  

Describe the sequence from the formula.

$$a_n=-4\left(n-1\right)-9$$  

What is the value of $$f\left(3\right)$$  ?

32, 16, 8, ...

What information would you need to find $$f\left(10\right)$$   from the formula:

$$f\left(n\right)=f\left(n-1\right)+7,\ \ \ f\left(1\right)=15$$  ?

What is the value of $$t\left(7\right)$$  ?

1, 1, 2, 3, 5, 8, ...

(a)