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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

I was taught a different method for calculating square roots in middle school, but I forgot it soon after! Your method looks easier. Thanks for the helpful vid! 🙂
Theophilosxxv (on a CCM YouTube video about How to Approximate the Square Root of a Number by Hand)

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