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Find patterns in a list of numbers! Get the free "Pattern Finder" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.
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Added Mar 3, 2023 by jkh in Technological World. kkjk. ykj....
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- KJ
This is the Triangular Number Sequence: 1, 3, 6, 10, 15, 21, 28, 36, 45, ... It is simply the number of dots in each triangular pattern: By adding another row of dots and counting all the dots we can. find the next number of the sequence. The first triangle has just one dot.
Tetrahedron: https://www.youtube.com/watch?v=Sugnaz8UxgQPentagonal Numbers: https://www.youtube.com/watch?v=NQLO20v4P5QExamples and Concept of Arithmetic Seq...
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Write a formula/formulae for the following sequence: b). 1,3,6,10,15,... I am not getting any pattern here, from which to derive a formula. This sequence does not look like the examples I could so...
In this case you get $3 - 1 = 2$, $6 - 3 = 3$, $10 - 6 = 4$, at this point you will probably guess that the next difference will be $5$ and indeed it is: $15 - 10 = 5$. You can now get your sequence back by adding the numbers $1$, $2$, etc.
The terms of a growing pattern may involve number, direction, shape, size — almost anything imaginable. An important type of growing pattern is the number sequence. Because mathematical patterns are regular, every number sequence must have at least one rule that explains how each term is obtained.
