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NThis question is done on the 26 letters of the alphabet. The answer is !26 = \lfloor \frac{26!}{e} + \frac{1}{2} \rfloor I will...
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AAion reacted to nasi112's post in the thread Showing that the sum of cubes of an arithmetic progression is divisible by the sum of its terms with
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I am speechless after seeing your counterexample. Good job Aion. I need to sharpen my algebra skills. -
Nnasi112 replied to the thread Showing that the sum of cubes of an arithmetic progression is divisible by the sum of its terms.I am speechless after seeing your counterexample. Good job Aion. I need to sharpen my algebra skills.
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Nnasi112 reacted to Aion's post in the thread Showing that the sum of cubes of an arithmetic progression is divisible by the sum of its terms with Like.
The step \frac{\sum_{k=0}^{n-1}(a+kd)^3}{\sum_{k=0}^{n-1}(a+kd)} = \sum_{k=0}^{n-1}(a+kd)^2 is not valid in general. One cannot “cancel”...
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Nnasi112 replied to the thread Implicit Differentiation.Thanks doctor. I see it now.
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NThe details of the work are different, but, as I pointed out, the result is identical, so both are correct. Do you not see that? Two...
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ZZexralo8 replied to the thread Help with Ratios: six people contributed to cost; how to split winnings?.Yeah this is basically just proportional share - nothing fancy. Each person's cut = (their contribution ÷ total pot) × winnings. So with...
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jonah2.0 reacted to mrtwhs's post in the thread A basic, but seemingly impossible, math problem I can't successfully solve. Can you please assist me? with Like.
OK, now I completely understand. The problem as stated is absolutely, positively, provably impossible. However the math cabal which... -
jonah2.0 reacted to mrtwhs's post in the thread A basic, but seemingly impossible, math problem I can't successfully solve. Can you please assist me? with Like.
column A column B 2 21 4 11 5 9 10 5 10 5 10 5 Each number in column B is the smallest possible positive integer that when...
