Arithmetric and Geometric Sequences

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

This is an arithmetic sequence. 8, 7.3, 6.6, 5.9, . . .

What function describes the sequence?

• f (x) = −0.7x + 8

• f (x) = −0.7x + 8.7

• f (x) = 0.7x + 8

• f (x) = 0.7x + 8.7

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

The individual numbers in a sequences are called...

• Common difference

• Successive term

• Term

• Geometric term

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683

• 6,561

• 2,187

• 729