" T) Prove by PMI."(1+(3)/(1))(1+(5)/(4))(1+(7)/(9)).......(1+((2n+1))/(n^(2)))=(n+1)^(2)" for all natural "

(1+3/1)(1+5/4)(1+7/9)...(1+((2n+1))/n^(2))=(n+1)^(2) forall n in N.

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Prove the following by using the principle of mathematical induction for all n in Nvdots(1+(3)/(1))(1+(5)/(4))(1+(7)/(9))...(1+((2n+1))/(n^(2)))=(n+1)^(2)

prove that (1-(1)/(2^(2)))(1-(1)/(3^(2)))(1-(1)/(4^(2)))(1-(1)/(n^(2)))=(n+1)/(2n) for all natural numbers,n>=1(1-(1)/(n^(2)))=(n+1)/(2n)

Using mathematical induction prove that (1+3/1)(1+5/4)(1+7/9)......(1+(2n+1)/n^2)=(n+1)^2 for all n in N

Using the principle of mathematical induction prove that (1)/(1.2.3)+(1)/(2.3.4)+(1)/(3.4.5)+...+(1)/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2) for all n in N

1+5+9+...+(4n-3)=n(2n-1) for all natural numbers n

Prove that (1)/(n+1)+(1)/(n+2)+...+(1)/(2n)>(13)/(24) ,for all natural number n>1