Number Theory

[aeh49]

Hi,

kI need help with the following problem:

Use mathematical induction to prove that the sum of integers from j=1 to n, j^3 = 1^3 + 2^3 + 3^3 + ... + n^3 = [n(n+1)/2],
for every positive integer n.

 

[Deleted member 4993]

Hi,

kI need help with the following problem:

Use mathematical induction to prove that the sum of integers from j=1 to n, j^3 = 1^3 + 2^3 + 3^3 + ... + n^3 = [n(n+1)/2],
for every positive integer n.

You are having problem possibly because you have copied the problem incorrectly.

1[sup:thkrx0pt]3[/sup:thkrx0pt] + 2[sup:thkrx0pt]3[/sup:thkrx0pt] + 3[sup:thkrx0pt]3[/sup:thkrx0pt] + ....+ n[sup:thkrx0pt]3[/sup:thkrx0pt] = [n(n+1)/2][sup:thkrx0pt]2[/sup:thkrx0pt]

[/quote]

Do a google search - you'll find many examples of proof.

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.