Pattern Arithmetic and Geometric Sequence

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

• 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, ...

Write an explicit formula for the sequence -9, -7, -5, -3, ...

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8