Sequences: Definition, Notation, and Examples

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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

Notes and playlists

• Summary: https://inleo.io/threads/view/mes/re-leothreads-owk9xkl7
• Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUgfK34Voi6BvrNqt4X4BV
• Notes: https://peakd.com/mathematics/@mes/infinite-sequences-limits-squeeze-theorem-fibonacci-sequence-and-golden-ratio-more
• Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .

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