Infinite sequences are lists of numbers that never end. Let's break it down:
What it is: An infinite sequence looks like this: (a_1, a_2, a_3, \ldots). It just keeps going on and on.
How we write it: The term that comes in the (n)-th place is usually called (a_n).
A simple example: Think about the sequence of natural numbers: (1, 2, 3, \ldots).
Learning about these sequences is important because they help us find patterns and understand how things work in math!
Infinite sequences are lists of numbers that never end. Let's break it down:
What it is: An infinite sequence looks like this: (a_1, a_2, a_3, \ldots). It just keeps going on and on.
How we write it: The term that comes in the (n)-th place is usually called (a_n).
A simple example: Think about the sequence of natural numbers: (1, 2, 3, \ldots).
Learning about these sequences is important because they help us find patterns and understand how things work in math!