Arithmetic Sequences and Recursive Formulas

Recursive formulas are mainly used for providing the ______ and the _____ in an arithmetic sequence.

• first term

  and

  last term

• first term

  and

  common difference

• previous term

  and

  final term

• none of these

• the final term in the sequence

• first term

• Nth term, where n>1

• previous term

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

Complete the table by looking for the pattern.

• 40, 30, 20, 10, 0

• 42, 35, 28, 21, 14

• 44, 37, 30, 23, 16

• 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

Classify each function with its description.

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 8, 14, 20

• 10, 16, 22

• 12, 18, 24