Graphing Sequences

x

y

a_n

n

x

y

a_n

n

$$a_n=32\left(\frac{1}{2}\right)^{\left(n-1\right)}$$

$$a_n=32\left(2\right)^{\left(n-1\right)}$$

$$a_n=\frac{1}{2}\left(32\right)^{\left(n-1\right)}$$

$$a_n=32-16\left(n-1\right)$$

Arithmetic

Geometric

Neither

$$a_n=4+2\left(n-1\right)$$

$$a_n=4\left(\frac{1}{2}\right)^{\left(n-1\right)}$$

$$a_n=2\left(4\right)^{\left(n-1\right)}$$

$$a_n=4\left(2\right)^{\left(n-1\right)}$$

Arithmetic

Geometric

Neither

Arithmetic

Geometric

Arithmetic

Geometric

Neither

Both

linear

exponential

Multiply each term by the preceding term to see if there is a common ratio.

Divide each term by the preceding term to see if there is a common ratio.

Subtract each term from the preceding term to see if there is a common difference.

Add each term to the preceding term to see if there is a common difference.