Question

观察下列等式：1^3=1^2,1^3+2^3=3^2,1^3+2^3+3^3=6^2,1^3+2^3+3^3+4^3=1

Answer 1

1^3+2^3+3^3+...+n^3 = (1+2+3+...+n)^2,

如1^3+2^3+3^3+4^3+5^3 = 225

(1+2+3+4+5)^2 = 15^2 = 225