Arithmetic Sequence Patterns and Word Problems

What is the common difference of the sequence below?

6, 9, 12, 15, ...

Hint: Common difference means the ADDING pattern

• 3

• 6

• 9

• 12

What is the first term of the sequence below?

6, 9, 12, 15, ...

• 3

• 6

• 9

• 12

• 315

• 330

• 345

• 360

What is the tenth term in the arithmetic sequence:

12, 19, 26, 33, ...

Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

• 47

• 61

• 75

• 96

• 200

• 450

• 1,015

• 2,475

• 530

• 685

• 755

• 820

Write an explicit formula for the sequence 45, 40, 35, 30, ...

Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ...