Arithmetic and Geometric Sequences

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.

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic
• Geometric
• Neither

What is the common ratio of this sequence?

{2, 10, 50, 250, ... }

[What are we multiplying by to get the next term?]

• 1,250

• 5

• 10

• 50

What is the common difference in this sequence?

{48, 32, 16, 0, ... }

[What are we adding to get to the next term?]

• 1/2

• 2

• -8

• -16

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

• Arithmetic
• Geometric
• Neither

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

Name the Sequence:

18, 22, 26, 30, 34.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

Name the Sequence:

5, 10, 20, 24....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Neither