Consider the statement P(n):1x2+2x3+3x4+………+n(n+1)='(n(n+1)(n+2)/3' (a)Verify that P(3) is true.

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+2.3+3.4+…….+n(n+1)=(n(n+1)(n+2))/3 Assume that P(k) is true for a natural number k, verify that P(k+1) is true.

Consider the statement P(n):1^2+2^2+3^2+…….+n^2-(n(n+1)(2n+1))/6 By assume that P(k) is true, prove that P(k+1) is true.

Consider the statement P(n):1/1.2+1/2.3+1/3.4+.....+1/{n(n+1)}=n/(n+1) .Prove that P(n) is true for all n in N using the principle of mathematical induction.

Consider the statement P(n):1/1.2+1/2.3+1/3.4+.....+1/{n(n+1)}=n/(n+1) .Show 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+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 Prove that P(1) is true.

Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n-1))(2) Check P(1) is true.

Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n)-1)(2) If P(k) is true, prove that P(k+1) is true.