document.write( "Question 28680: Consider the sum 1^3+2^3+3^3+...+n^3 and the sum 1+2+3+...+n. Conjecture a formula that relates these two sums. \n" ); document.write( "

Algebra.Com's Answer #15630 by venugopalramana(3286) $\"\"$ $\"About$

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Consider the sum 1^3+2^3+3^3+...+n^3 and the sum 1+2+3+...+n. Conjecture a formula that relates these two sums.
\n" ); document.write( " S3N = 1^3+2^3+3^3+...+n^3={N(N+1)/2}^2
\n" ); document.write( "and S= 1+2+3+...+n. =N(N+1)/2
\n" ); document.write( "TRUST YOU ARE TAUGHT THESE FORMULAE.OTHERWISE PLEASE COME BACK AND I SHALL SHOW YOU HOW TO GO ABOUT THEM.
\n" ); document.write( "Conjecture a formula that relates these two sums.
\n" ); document.write( "HENCE S3N=(SN)^2 \n" ); document.write( "

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