YouTube - Summary - Notes - Playlist - Sequences and Series playlist
In this video I go over sequences, which are just ordered lists of numbers, the notation used to describe them, and several examples to illustrate how to obtain the general formula of the terms of a sequence. I also discuss briefly discuss the famous Fibonacci sequence, which is defined recursively by adding up the previous two terms. I will discuss Fibonacci sequences and the history behind it in great detail in later videos so stay tuned!
Timestamps:
Sequence is an ordered list whose domain is the set of positive integers: 0:00
Notation of a sequence {a_n}: 0:52
Example 1: Expanding out sequences from their formulas: 1:37
Exact trig ratios from equilateral triangle: 7:12
Example 2: Finding formula of a sequence: 11:25
Example 3: Sequences without simple defining equations: 15:19
Fibonacci sequence is defined recursively: 16:12
