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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: 7:36Graphing sequences for positive r values: 8:57
Graphing sequences for negative r values: 11:32
Summary of results: 14:00
