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In this video I go over an example of a sequence that is defined by a recurrence relationship, and then use mathematical induction to prove it is increasing, bounded, thus convergent, and finally its actual limit. [https://youtu.be/BHnjY22ddOM](https://youtu.be/BHnjY22ddOM) - [summary](https://inleo.io/threads/view/mes/re-leothreads-m2rewifu) - [playlist](https://www.youtube.com/playlist?list=PLai3U8-WIK0HUgfK34Voi6BvrNqt4X4BV) - [notes](https://peakd.com/publish?edit=mes%2Finfinite-sequences-limits-squeeze-theorem-fibonacci-sequence-and-golden-ratio-more)

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For the best experience view this post on [Liketu](https://liketu.com/@mes/using-mathematical-induction-to-find-the-limit-of-a-recursive-sequence)