Question

PLZZZ SOLVE ANYONE



If P (n) is the statement "n(n+1) (n+2) is divisible by 12", prove that
the statement P (3) and P(4) are true, but that P (5) is not true.​

Answer 1

Answer:

P ( 3) = 3 ( 3 +1) ( 3 + 2) = 3.4.5 = 60

60 is divisible by 12.

So, P ( 3) is true.

P ( 4) = 4 ( 4 + 1) ( 4 +2) = 4.5.6 = 120

120 is divisible by 120.

So, P ( 4) is true.

P( 5) = 5 ( 5 + 1) ( 5 + 2) = 5.6.7 = 210

210 is not divisible by 12.

So, p ( 5) is not true.

♥️QED