Chapter 9- Sequences and Series

Sequence
- Name of the series/function

- An infinite sequence is a function whose domain is set of positive integers.

- The function values are the terms of the sequence

ex. finding the first three terms of the sequence

Finding the nth term of a sequence:
ex. 1 , 3 , 5 , 7 , . . . .

Solution:

• n: 1 2 3 4 . . . n
• terms: 1 3 5 7 . . .
• apparent pattern: Each term is 1 less than twice n, which applies that

A Recursive Sequence

where

Factorial


special case, zero factorial can be defined as 0!=1

Evaluating factorial expressions: