If `P(n)` is the statement `n^3+n` is divisible 3 is the statement `P(3)` true ? Is the statement `P(4)` true?

Let P(n) be the statement ''n^3 +n is divisible by 3”. Is the statement P( 3) true ?

Let P(n) be the statement ''n^3 +n is divisible by 3”. Is the statement P(4) true ?

If P(n) is the statement n^3+n is divisible by 3, prove that P(3) is true but P(4) is not true.

If P(n) is the statement n^(3)+n is divisible by 3, prove that P(3) is true but P(4) is not true.

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

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

If P(n) is the statement n^2+n is even, and if P(r) is true then P(r+1) is true.

Consider the statement P(n):7^n-3^n is divisible by 4. Show that P(1) is true.

Consider the statement P(n):2^(3n) -1 is divisible by 7 Is the statement p(1) true? justify your answer

If P(n) is the statement n^(2)+n is even,and if P(r) is true then P(r+1) is true.