Arithmetic and Geometric Sequences Recursive and Explicit Formulas

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4

Determine whether the sequence in the table is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Determine whether the sequence in the table is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Common difference or ratio?

What are the missing values?

• Difference = 22, 34

• Difference = 24, 34

• Ratio = 22, 34

• Ratio = 24, 34

What are the missing values?

• Difference = 10

• Difference = 8

• Ratio = 5

• Ratio = 7.5

Complete the table by looking for the pattern.

• 30, 10, 3.3, 1.1

• 30, 10, 3, 0

• 60, 30, 10, 0

Classify each function with its description. \(f\left(x\right)\ =\ 4x\ +3\)

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. f\left(x\right)=f\left(x-1\right)+1,f\left(0\right)=5

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. f\left(x\right)\ =\ f\left(n-1\right)+2,\ f\left(1\right)=4

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive