## Definition 3.1.1: Sequence

A

**sequence**of real numbers is a function*f:*. In other words, a sequence can be written as**N****R***f(1), f(2), f(3), ....*. Usually, we will denote such a sequence by the symbol , where*a*._{j}= f(j)
A **sequence** of real numbers is a function
*f: ***N** **R**.
In other words, a sequence can be written as
*f(1), f(2), f(3), ....*. Usually, we will denote such a sequence
by the symbol , where
*a*_{j} = f(j).