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  1. 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.

  2. Triangular Numbers 1, 3, 6, 10, 15 Non-Linear Pattern Rules. Tetrahedron: • Tetrahedral Numbers with Pile of Oran... Pentagonal Numbers: • Pentagonal Tetrahedral and Triangular... Examples...

  3. 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...

  4. 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.

  5. The triangular number sequence is the representation of the numbers in the form of equilateral triangle arranged in a series or sequence. These numbers are in a sequence of 1, 3, 6, 10, 15, 21, 28, 36, 45, and so on. The numbers in the triangular pattern are represented by dots.

  6. The rule of a number pattern can form a number pattern. For instance, if you subtract the consecutive terms in the pattern 1, 2, 5, 10, 17, 26, …, and make a series, we get 1, 3, 5, 7, 9, … Solved Examples. 1. What is the missing value in the sequences 5, 10, 15, __, 25, 30, …?

  7. A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers.

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