Question
Why are 1. 3, 6, 10, 15, ... called triangular numbers? Why are 1, 4, 9, 16, 25, ... called square numbers or squares? Why are 1, 8, 27, 64, 125, ... called cubes?

Answer

1, 3, 6, 10, 15, ... sequence forms a triangles, therefore it is called triangular numbers.
1, 4, 9, 16, 25, ... sequence forms a square, therefore, it is called square numbers.
1. 8. 27, 64, 125, ... sequence forms a cube, therefore, it is called cubes.

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