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    Working with the sum of cubes.

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    Problem 3: This problem itself is directly creating perceptual curiosity and at the cognitive level it is against what is known in the mathematics.

    The problem is:
    13+23+33+.... +n3 = (1+2+3+...+n) 2

    Visual representation of problem:

    Sum of the cubes equal to square?

    13+23+33+...+ n3 = (1+2+3+...+n) 2

    + + +...+ =

    Direct proof is required. HOWEVER, Proof by Induction IS NOT wanted as the solutions, that is:

    1-For n=1 is true
    2- For n = k assumed to be true
    6-Show for n = k+1 is true
    THIS SOLUTION IS NOT ACCEPTED. WE DON'T WANT THIS SOLUTION

    © BrainMass Inc. brainmass.com February 24, 2021, 2:14 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/8920

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    Solution Summary

    A proof is offered equating a sum fo cubes to an expression of squares.

    $2.19

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