Question

if p(n) is the statement is true for such that :n(n+1)(n+2)is divisible by 12 then prove that p(3) and p(4) are true but p(5) is not​

Answer 1

Answer:

p(n)=n(n+1)(n+2)=n*n+3*n*n+2n

p(3)=3(3+1)(3+2)=60

p(4)=4(4+1)(4+2)=120

p(5)=5(5+1)(5+2)=210

hence proved