Creating Graphs of Sequences

In this video I discuss how to graph sequences manually as well as using Desmos online graphing calculator. I also go over an example on finding the values of r in r^n that are convergent and plot them out. For negative values of r, the sequence, and hence its graph, oscillates from positive and negative values during both divergence and convergence.

#math #desmos #sequences #calculus #education

Timestamps:

• Creating graphs of sequences: 0:00
• Graphing Example 9 using Desmos Graphing calculator: https://www.desmos.com/calculator/tbfrsprr03 0:52
• Example 10: Convergence of r^n: 2:42
  • Convergence at trivial cases: r = 1 and 0: 5:04
  • Convergence for r is between -1 and 0: 6:00
  • Divergence for r is less than or equal to -1: 7:36
  • Graphing sequences for positive r values: 8:57
  • Graphing sequences for negative r values: 11:32
  • Summary of results: 14:00

Notes and playlists:

• Summary: https://inleo.io/threads/view/mes/re-leothreads-2clpp6iml
• 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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