What are triangular numbers?

Other Greeks explored the magic of numbers. The students of Pythagoras found, that he, when adding consecutive numbers, could make rules about their grand total. Pay off, who follow each other, you can form triangles. To calculate the sum of consecutive numbers in a "row"., the Greeks found the formula:

n(n+1) / 2 = the sum, where n is the last of the consecutive numbers. What is the sum of the first six numbers? Let's set n = 6 and turn the shapes! an, so we get

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