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1/6 n(n+1)(n+2)

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Q: What is the form of the nth term of a triangular pyramidal number sequence?
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Is 121 a triangular number?

A triangular number counts the objects that can form an equilateral triangle. 121 is not a triangular number, though 120 is.


What is pyramidal number sequence?

It is a sequence in which the numbers represent the number of spheres in a pyramidal stack of spheres. There are a number of possible configurations for stacking spheres - a visit to fruit stalls may show you options. The square based pyramidal numbers are given by the sums of the first n square numbers. So U(1) = 1^1 = 1 U(2) = 1^2 + 2^2 = 1 + 4 = 5 and so on U(n) = 1^2 + 2^2 + ... + n^2 = n(n+1)(2n+1)/6. However, there are also triangle based pyramidal numbers and hexagon based pyramidal numbers, since these configuration also give stable stacks.


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What is the outlier in this sequence 51014151720354850?

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What is a crystal's shape and what determines a crystal's shape?

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The phosphorus trichloride (PCl3) has a molecule with a trigonal pyramidal form.


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