Squares Fun
Have fun with the perfect squares?
Take the first 13 perfect squares 1, 4, 9, 16, 25, etc, to 169. Separates these 13 numbers into three sets such that the sum of each series are the same. What are the three series? In addition, you can do with First 14 perfect squares? If not, why no? Kåks: Actually, I thought it was me. But whatever, I see someone has resolved within the first twenty minutes. I'm impressed ... I thought it would be for at least one hour before a correct answer has been sent.
sum of the first 13 perfect squares: 819 819 / 3 = 273 Each project is $ 273 Choose: 1 4 9 16 25 36 49 64 81 100 121 144 169 169 + 100 + 4 = 273 [this is the most obvious Choose one]: 1 9 16 25 36 49 64 81 121 144 144 + 64 + 49 + 16 = 273 Rest: 1 September 25, 1936 81 121 add to 273 for the three sets are {4, 100, {169} 16, 49, 64, 144} {1, 9, 25, 36, 81, 121} The sum of the first 14 seats: 819 + 196 = 1015 1015 is not divisible by 3 if You can do 3 sets.
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