Question

已知1^3=1=1/4*1^2*2；1^3+2^3=9=1/4*2^2*3^2；1^3+2^3+3^3=36=1/4*3

Answer 1

1. 1^3+2^3+3^3+……+（n-1)^3+n^3=(1/4)*(n^2)*(n+1)^2

2. 1^3+2^3+3^3+……+（99)^3+100^3=(1/4)*(100^2)*101^2

=25502500