What are sequences?

• A sequence is a list of numbers set in a particular order with a common difference or ratio. They can be expressed using formulas called explicit and recursive. There are two types of sequences, arithmetic (addition) and geometric (multiplication).

Need some practice?

• Identify arithmetic and geometric sequences (IXL)

• Arithmetic sequences (IXL)

• Geometric sequences (IXL)

• Evaluate variable expressions for number sequences (IXL)

• Write variable expressions for arithmetic sequences (IXL)

• Write variable expressions for geometric sequences (IXL)

What is an explicit formula?

An explicit formula represents a sequence using the nth term. We are able to find any term in the sequence without needing to find others previous to it.

Need some practice?

• Identify a sequence as explicit or recursive (IXL)

• Convert a recursive formula to an explicit formula (IXL)

• Convert an explicit formula to a recursive formula (IXL)

What is a recursive formula?

A recursive formula identifies a sequence using the common difference or ratio and applying it to the preceding terms.

Need some practice?

• Evaluate recursive formulas for sequences (IXL)

• Identify a sequence as explicit or recursive (IXL)

• Write a formula for a recursive sequence (IXL)

• Convert a recursive formula to an explicit formula (IXL)

• Convert an explicit formula to a recursive formula (IXL)