My Math Forum Is This True About Summation Formulas?

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 May 10th, 2015, 08:33 AM #1 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 661 Thanks: 87 Is This True About Summation Formulas? I looked up that the summation formula for x^3 is the square of the summation formula for x. In other words (1 + 2 + 3 +…)^2 = 1^3 + 2^3 + 3^3 + … and I want to know if that means the summation formula for x^6 would be the square of the summation formula for x^2 because (x^3)^2 = x^6 and x^2 = x^2.
May 10th, 2015, 12:54 PM   #2
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 Originally Posted by EvanJ I looked up that the summation formula for x^3 is the square of the summation formula for x. In other words (1 + 2 + 3 +…)^2 = 1^3 + 2^3 + 3^3 + … and I want to know if that means the summation formula for x^6 would be the square of the summation formula for x^2 because (x^3)^2 = x^6 and x^2 = x^2.
Did you try doing the arithmetic? 1^6+ 2^6= 1+ 64= 65. That is NOT (1^2+ 2^2)^2= 5^2= 25.

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