Sullivan Algebra and Trigonometry: Section 13.1 Objectives of this Section Write the First Several Terms of a Sequence Write the Terms of a Sequence Defined by a Recursive Formula Use Summation Notation Find the Sum of a Sequence

A sequence is a function whose domain is the set of positive integers.

If n > 0 is an integer, the factorial symbol n If n > 0 is an integer, the factorial symbol n! is defined as follows: Evaluate: 6!

Sequences in which the first (or first few) terms are assigned values and the nth term is defined by a formula that involves one (or more) terms preceding it is a recursively defined sequence.

Summation Notation