Cubes
Number Theory
Level
3
Find (1^3)+(2^3)+(3^3)+........+(98^3)+(99^3)+(100^3).
20052050
20502500
20502050
20052005
25002005
25002500
25502500
25002050
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1 solution
This is a secret formula which can help you. Since 1^3 +2^3+3^3=(1+2+3)^2, so for the problem I posted, it is (1+2+3......+99+100)^2 = 5050^2 = 25502500