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 divisiblé by 12, prove that P(3) and P(4) are true, but P(5) is not true

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

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

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

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

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." i. Prove that P(3) is true. ii. Verify whether the statement is true for n = 4.

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

If P(n) is the statement 2^ngeq3n , and if P(r) is true, prove that P(r+1) is true.