Identifying and Explaining Patterns in Arithmetic

Given the following sequence:
9, 18, 27, 36, 45,...
what is the common difference?

• 8

• 9

• 10

• -9

• -10

What is the rule of the pattern: 3, 9, 15, 21?

• multiply by 3

• add 6

• count by 3

• add 5

State the common difference:

Example 2: 21, 19, 17, 15, …

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

• Arithmetic

• Geometric

• Neither

Brian used the same rule on each Input number to create the Output numbers in the table below.

• Add 10

• Add 30

• Subtract 10

• Subtract 20

What is the rule for the Magic Box?

• Add 4

• Add 6

• Multiply by 2

• Multiply by 3

Each number in Set O goes with one number in Set P. What is the pattern?

• Subtract 1

• Add 1

• Subtract 3

• Add 3

You are given 5 gifts boxes. In the first there is 1 item, the second has 3 items, and the third has 5 items. Predict how many items would be in the fifth gift box.

• 8

• 10

• 9

• 11

209, 207, 205, 203

• Add 2

• Subtract 2

• Add 4

• Subtract 4

Any whole number is divisible by 3 if the sum of the digits is

• greater than 3

• divisible by 3

• an even number

• an odd number