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

Gone to a lot of sites and watched a lot of math lessons on the internet, but your lessons seem to sink in my mind better than others, perhaps you explain each step in a way that is meaningful to me…anyway, i think you are an excellent instructor, thanks for your help.

Maggie J (on a CCM YouTube video about How to Graph Type 2 Rational Functions)

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