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Iterations (Repetitions)

A cross section of a nautilus shell, showing the regular chambersMany things repeat.

When you learn to count … 1, 2, 3, 4, 5, … you are increasing your number by one every time.  Many number sequences are nothing more than always repeating the same algorithm.  When a creature produces its shell, it is repeating the same simple building instructions as it grows, thereby creating a spiral (or one shell of a bivalve).

On a semi-humorous, semi-serious note, the idea of a day that kept repeating itself formed the basis for the entertaining movie, Groundhog Day.

In this part of the website I want to help you explore such repeating things.




Sequences and Series ~ Repeating patterns with numbers

Mathematical Induction ~ Repeating patterns with ideas, concepts, and algebraic structures

Fractals ~ Repeating patterns with geometric shapes

Wow! This video was by far the most helpful I’ve watched on this material. By the time you put the last set of problems on the board I was solving them own my own! Most videos make the material “look” easy to do, with yours I can delete the “look” part!
Michael M (on a CCM YouTube video about the Chain Rule)

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