Geometric Sequence Pattern

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

Is the sequence-4, -12, -36, -108,... arithmetic geometric, or neither?

• arithmetic

• geometric

• neither

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20

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

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

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

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

What is the fifth term for the sequence below?

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80