Cube of 1 + cube of 2 + +Cube of n=

Cube of 1 + cube of 2 + +Cube of n=

1 ^ 3 + 2 ^ 3 +... + n ^ 3 = [1 + 2 + 3 +... + n] ^ 2 by mathematical induction. S1 = 1 ^ 3 = 1 ^ 2s2 = 1 ^ 3 + 2 ^ 3 = 9 = 3 ^ 2 = (1 + 2) ^ 2s3 = 1 ^ 3 + 2 ^ 3 + 3 ^ 3 = 36 = 6 ^ 2 = (1 + 2 + 3) ^ 2s4 = 1 ^ 3 + 2 ^ 3 + 3 ^ 3 + 4 ^ 3 = 100 = 10 ^ 2 = (1 + 2 + 3 + 4) ^ 2s5 = 1 ^ 3 + 2 ^ 3 + 3 + 4 ^ 3 + 5 ^ 3 = 15 ^ 2 = (1 + 2 + 3 + 4 + 5) ^ 2 when n = k