Identifying and Explaining Patterns in Arithmetic

Explain what an arithmetic sequence is

• An arithmetic pattern has the same difference between each term
• The first difference is always the same
• The pattern increases or decreases by the same amount each time
• All of the above

Explain what a quadratic sequence is

• The number doubles each time
• The second difference is always the same
• the pattern is always increasing
• None of the above

Can you identify the pattern below
 3, 7, 11, 15, 19...

• Quadratic sequence
• Neither a Quadratic or an arithmetic
• Both  a Quadratic or an arithmetic
• Arithmetic sequence

Can you identify the pattern below
37, 25, 13, 1, -11...

• Arithmetic Pattern
• Quadratic Pattern
• Both a Quadratic and Arithmetic
• Neither a Quadratic or Arithmetic

Can you identify the pattern below
3, 9, 27, 81

• Arithmetic Pattern
• Quadratic Pattern
• Neither Arithmetic or Quadratic
• Both arithmetic and quadratic

Can you identify the pattern below
2, 4, 7, 11, 16, 22

• Both a arithmetic and Quadratic pattern
• Quadratic Pattern
• Neither an arithmetic or Quadratic
• Arithmetic Pattern

What is the next term in the sequence below
10,23, 36, 49, __

• 52
• 53
• 62
• 63

What is the next term in the following pattern
2, 5, 10, 17, 26, ___

• 36
• 37
• 38
• 39

What is the second difference in the following pattern
4, 10, 19, 31, 36, 54...

• 3
• 2
• 5
• 4

What is the second difference in the following pattern
2, 4, 8, 14, 22, 30...

• 1
• 2
• 3
• 4