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’d like to take the chance to thank you for this awesome channel. You achieve what many teachers fail to achieve: You do not beat around the bush and you have the ability to make even complex topics sound simple, which is a gift.

Thank you for helping me with my final examination preparation. Keep up the great work. You deserve a lot more views, that is why I am glad to share your work with other students struggling with maths.

Yours Sincerely from Germany

Aaron P (on a CCM YouTube video about Four Steps to Understanding Rational Functions)

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