The Sum of Sums

In the previous essay, we saw how 1 + 2 + 3 +... n = n(n+1)/2, which can also be expressed using the sum symbol as But what if we wanted a formula for the sum of sums, specifically , 1 + 3 + 6 + 10 + ... n(n+1)/2, Notice that 1 = 1;... Continue Reading →

From Dominoes to Math Summation Formulas

Standard dominoes have 28 tiles. Figuring why is fairly straightforward. Think of all the tiles with a blank. There are seven in all. Next are tiles that begin with the number 1. We already have the one paired with a blank, so the number 1 can only be paired with the numbers 1 through 6.... Continue Reading →

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