Consider the statement
`p(n):1^3+2^3+3^3+………..+n^3=[(n(n+1))/2]^-2`
Prove the statement using mathematical induction.

Consider the statement: P(n)=1^3+2^3+3^3+……..+n^3=[(n(n+1))/2]^2 Prove that P(1) is true.

Consider the statement p(n):1^3+2^3+3^3+………..+n^3=[(n(n+1))/2]^2 Verify the result for n=2.

Consider the statement: P(n)=1^3+2^3+3^3+……..+n^3=[(n(n+1))/2]^2 If P(k) is true, prove that P(k+1) is true.

Consider the statement: P(n)=1^3+2^3+3^3+……..+n^3=[(n(n+1))/2]^2 Is P(n) true for all natural number n ? Why?

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove the statement using the principle of mathematical induction for all natural numbers.

Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2 .Prove by principle of mathematical induction,that P(n) is true for all n inN

Consider the statement '' 7^n-3^n is divisible by 4'' Prove the statement using mathematical induction.

Consider the statement P(n):1.2+2.3+3.4+…….+n(n+1)=(n(n+1)(n+2))/3 Prove that P(1) is true.

Consider the statement P(n):1^2+2^2+3^2+…….+n^2=(n(n+1)(2n+1))/6 Check whether P(1) is true.

Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2 .Show that P(1) is true