This is the third post of the Amazing Number Patterns Series. In this post, we exhibit another pattern that can be derived from square numbers — this time, with a diagram.
As the diagram shows, we have
Hmmm, mathematics is indeed the science of patterns.
Now, will this pattern continue for larger squares? Hint: You have to learn mathematical induction to answer this question.
You may also want to check out Number Patterns 1 and Number Patterns 2.
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Pingback: Amazing Number Patterns 4 - Odds and Squares July 13, 2012
[...] A celebration of mathematical art, beauty, and wonders. Post ListAboutContact Me Amazing Number Patterns 4 – Odds and Squares This is the fourth post in the Amazing Number Patterns Series and a repost from from Mathematics and Multimedia, my main blog. The pattern below is a good example of a proof without words and is quite similar to the amazing number pattern of square numbers. [...]