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Course: MATH 521, Fall 2008School: Wisconsin
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next HW1 Due Tuesday, in class 1. Prove that 13 + 23 + . . . + n3 = (1 + 2 + . . . + n)2 for any n 2. Prove that 11n+1 + 122n-1 is divisible by 133 for any n > 0. Is 11 a rational number? Is it possible to find positive integers x and y that such x2 - y 2 = 10? Assume there are n people in the room (n 2) and any two of them might be cousins to each other. Show that at least two persons in the room have...
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next HW1
Due Tuesday, in class 1. Prove that 13 + 23 + . . . + n3 = (1 + 2 + . . . + n)2 for any n 2. Prove that 11n+1 + 122n-1 is divisible by 133 for any n > 0. Is 11 a rational number? Is it possible to find positive integers x and y that such x2 - y 2 = 10? Assume there are n people in the room (n 2) and any two of them might be cousins to each other. Show that at least two p...
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