AP EAMCET Engineering 21 Sep 2020 Shift 2 Paper

(c) Let the three consecutive natural numbers (n−1),n,n+1 where n≥2
∴ Sum of cubes of the three consecutive natural numbers is
(n−1)3+n3+(n+1)3=3n3+6n=3n(n2+2)
For each value of n≥2, the expression 3n(n2+2) is divisible by 9.