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Tetrahedron: https://www.youtube.com/watch?v=Sugnaz8UxgQPentagonal Numbers: https://www.youtube.com/watch?v=NQLO20v4P5QExamples and Concept of Arithmetic Seq...
In this video I will show you how to find two formulas for the sequence 1, 3, 6, 10, ... . The first is a recursive formula and the second is not.
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.
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You can now get your sequence back by adding the numbers $1$, $2$, etc. What you get is the well-known sequence of triangular numbers . $$ T_n = 1+2+\cdots+n=\frac{n(n+1)}{2} $$
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.
20 maj 2022 · Create four different number patterns having the first two terms as 1,3, by writing out the next four terms. In each case explain the rule for your pattern. What happens if the first four terms are given as \(1,3, 5,7,\cdots\).
