Arithmetic and Geometric Sequences

Which kind of sequence is found by multiplying the previous term by a fixed, non-zero number called a ratio?

• Arithmetic
• Geometric

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
 -14, -11, -8, -5, ... 

• Arithmetic
  Common Difference: 3
• Arithmetic
  Common Difference: -3
• Geometric
  Common Ratio: 4
• Geometric 
  Common Ratio: 3

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
97, 86, 75, 64, ...

• Arithmetic
  Common Difference: 8
• Geometric
  Common Ratio: -11
• Arithmetic
  Common Difference: -11
• Geometric
  Common Ratio: -8

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
256, 64, 16, 4,... 

• Arithmetic
  Common Difference: 4
• Arithmetic 
  Common Difference: ¹/₄
• Geometric
  Common Ratio: -4
• Geometric 
  Common Ratio: ¹/₄

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
-6, -18, -54...

• Arithmetic
  Common Difference: 3
• Geometric
  Common Ratio: -3
• Arithmetic
  Common Difference: 12
• Geometric
  Common Ratio: 3

Given the following sequence, find the common difference.
-7, 14, -21, 28, -35

• 7
• 2
• -2
• not an arithmetic sequence

The next two terms of the sequence 4, 7, 10, 13 are...

• 17 and 20
• 16 and 19
• 15 and 19
• 17 and 19

The next two terms of the sequence 12, 17, 22, 27 are...

• 28 and 33
• 32 and 37
• 29 and 34
• 30 and 35

Identify the common difference 10, 20, 30, 40....

• 5
• 10
• 15
• 20

Is this an arithmetic sequence?
5, 4.25, 3.5, 2.75

• Yes
• No