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EASIER THAN YOU THINK...

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

Graeme Henderson tutored me throughout my entire high school mathematics education, and through his expert tutelage and exceptional ability to explain the concepts that would otherwise be very hard to understand, I was able to grasp and excel at topics that I would have otherwise been unable to. He was an excellent tutor, and I would not hesitate to recommend him to anyone looking for help with mathematics problems!
Matthew T (student, c2005-2013)

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