Knaph

Triangular numbers

A triangular number is a number of dots that can be laid out as a triangle with rows of 1, 2, 3 and so on: 1, 3, 6, 10, 15 ... Two copies of a triangle make a rectangle, so 1 + 2 + ... + 100 is 100 × 101 ÷ 2 = 5,050, and two neighbouring triangular numbers make a square.

Depth 1 · Foundation

You can build triangular numbers as stairs of dots, find the next one by adding the next counting number, use two triangles that make a rectangle to add 1 to 100 quickly, and see two neighbours make a square.

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