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Triangle NumbersLoading...
The natural numbers are given by 1, 2, 3, 4, 5, 6, ... etc.
1
2
3
4
5
6
The triangle numbers are the sums of the first n natural numbers.
The triangle numbers Tn are the sums of the first n natural numbers.
T1 = 1
T2 = 1 + 2
T3 = 1 + 2 + 3
T4 = 1 + 2 + 3 + 4
T5 = 1 + 2 + 3 + 4 + 5
T6 = 1 + 2 + 3 + 4 + 5 + 6
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etc.
They are so named because they form a triangle of size n.
The tetrahedral numbers are the sums of the first n triangle numbers.
Challenge [hard]: What comes next?
