Arithmetic and Geometric Sequence Entrance Ticket

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

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

Arithmetic sequences form a linear equation.

Geometric sequences form an exponential equation.

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

• An arithmetic sequence with a common ratio of 3.

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

• A geometric sequence with a common ratio of 3.

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.