Convert the following products into factorial: `(n+1)(n+2)(n+3).......(2n)`

Convert the following products into factorial: 1.3.5.7.9(2n-1)

Convert the following products into factorials: (iii) (n + 1) (n +2) (n + 3).... (2n) (iv) 1.3.5 . 7 . 9.... (2n-1)

Convert the following products into factorials: (iii) (n + 1) (n +2) (n + 3).... (2n) (iv) 1.3.5 . 7 . 9.... (2n-1)

Convert the following products into factorial: 1. 3. 5. 7. 9 (2n-1)

Prove the following by using induction for all n in N . 1+2+3+.....+n=(n(n+1))/(2)

Prove the following by using induction for all n in N . 1+2+3+.....+n=(n(n+1))/(2)

Prove the following by using iduction for all n in N . 1+2+3+.....+n=(n(n+1))/(2)

Prove the following by using iduction for all n in N . 1+2+3+.....+n=(n(n+1))/(2)

By the Principle of Mathematical Induction, prove the following for all n in N : 1.3+2.3^2 +3.3^3+.....+ n.3^n= ((2n-1)3^(n+1)+3)/4 .

By the Principle of Mathematical Induction, prove the following for all n in N : 1/1.3+1/3.5+1/5.7+......+ 1/((2n -1)(2n +1))= n/(2n +1) .