Arithmetic and Geometric Sequences

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

• 8

• 11

• -11

• -8

What is the 10th term of the sequence a(n) = 20-2n

• 40

• -20

• 7

• 0

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

• Neither

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

The next term of the series 11,8,5,2 is...

• -1

• -2

• 1

• 2

What is the 14th term of the geometric sequence?

• 14,348,907

• 4,782,969

• 1,594,323

• 45

Remember that arithmetic sequences have a common difference (add/subtract). Geometric sequences have a common ratio (multiply/divide). SELECT the TWO true statements!

• Arithmetic sequences have a common difference and we are adding the same number each time.

• Arithmetic sequences have a common difference and we are multiplying the same number each time.

• Geometric sequences have a common ratio and we are adding the same number each time.

• Geometric sequences have a common ratio and we are multiplying the same number each time.

What is the common ratio of this sequence?

• 1,250

• 5

• 10

• 50