Sequence and Series Review

Determine the type of sequence.

-6, -12, -18, -24, ...

• Arithmetic

• Geometric

• Neither

Determine the type of sequence.

2, -6, 18, -54, ...

• Arithmetic

• Geometric

• Neither

Determine the type of sequence.

1, 4, 9, 16, 25, ...

• Arithmetic

• Geometric

• Neither

Determine the type of sequence.

16, 36, 56, 76, ...

• Arithmetic

• Geometric

• Neither

Determine the type of sequence.

2, -4, 8, -16, ...

• Arithmetic

• Geometric

• Neither

Find the common difference or common ratio.

-2, -12, -72, -432, ...

• d = -10

• r = 6

• r = 1/6

• d = 6

Determine the common difference or the common ratio.

-1, 5, -25, 125, ...

• r = 6

• r = -5

• r = 5

• d = -30

Determine the common difference or the common ratio.

4, 20, 100, 500, ...

• r = 5

• d = 16

• r = -5

• d = 80

Write the explicit equation to the sequence:

3, 15, 75, 375, ...

• $a_n=3\left(5\right)^{n-1}$

• $a_n=5\left(3\right)^{n-1}$

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

• $a_n=3+\left(n-1\right)5$

Write the explicit equation to the sequence:

4, 20, 100, 500, ...

• $a_n=\ 20\left(5\right)^{n-1}$

• $a_n=\ 4\left(5\right)^{n-1}$

• $a_{n\ }=\ 4\left(-5\right)^{n-1}$

• $a_n=4\left(\frac{1}{5}\right)^{n-1}$