Sequences

Is the sequence arithmetic, geometric, or neither?

4, 10, 25, 62.5,...

• Arithmetic

• Geometric

• Neither

Is the sequence arithmetic, geometric, or neither?

2, 3, 5, 8,...

• Arithmetic

• Geometric

• Neither

Is the sequence arithmetic, geometric, or neither?

2, 7.5, 13, 18.5,...

• Arithmetic

• Geometric

• Neither

What is the common difference of the arithmetic sequence?

42, 73, 104, 135,...

What is the common difference of the arithmetic sequence?

17, 5, -7, -19,...

What is the common ratio of the geometric sequence?

8, 28, 98, 343,...

What is the common ratio of the geometric sequence?

15, 12, 9.6, 7.68,...

Write the explicit equation for the sequence.

3, 15, 75, 375,...

• $f\left(n\right)=3\left(5\right)^n$

• $f\left(n\right)=3\left(5\right)^{\left(n-1\right)}$

• $f\left(n\right)=5\left(3\right)^n$

• $f\left(n\right)=5\left(3\right)^{\left(n-1\right)}$

Write the recursive equation for the sequence.

3, 15, 75, 375,...

•  $f\left(n\right)=f\left(n-1\right)\cdot3,\ f\left(1\right)=5$ 

•  $f\left(n\right)=f\left(n-1\right)\cdot5,\ f\left(1\right)=3$ 

Write the explicit equation for the sequence.

3, -9, -21, -33,...

•  $f\left(n\right)=3+12n$ 

•  $f\left(n\right)=3-12n$ 

•  $f\left(n\right)=3+12\left(n-1\right)$ 

•  $f\left(n\right)=3-12\left(n-1\right)$