An Explicit Formula for the Fibonacci Sequence; How to Solve Recursions.

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Sequences frequently appear in math competitions. In this video I go over how to find an explicit formula for the Fibonacci sequence. Then, I discuss how in general we can solve many recursions. This is one of many methods to find an explicit formula for a recurrence relation.

For problems on sequences and series check out the following playlists:

  1. Dr. Ebrahimian
  2. Math
  3. Math Competitions
  4. Math Competition
  5. Problem Solving
  6. Sequences
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Комментарии
Автор

Have to watch three times to get my head around it(My skll issue). Amazing work as always...

vikrantsingh
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At 13:33, are you sure it isn’t use r^n, nr^n, n(n-1)r^n, n(n-1)(n-2)r^n as many times as needed? I don’t think the text makes sense as when you differentiate exponents decrease by 1. Could you pls clarify?

prathikkannan
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Hi, are you familiar with any useful resources that could help me prepare for the IMC ? (the one for university students).

Your videos are really helpful.

Chikhi_Salah