You need to generalize the statement you are proving. Show by induction on m.
Hello ,
I need help to prove that :
(2n)! / (n! * n!) + (2n-1)! / ( (n-1)! * n! ) + (2n-2)! / ( (n-2)! * n! ) + ... + n!/( 0! * n!) = (2n+1)! / ( n! * (n+1)! )
or C_{2n}^{n} + C_{2n-1}^{n} + ... + C_{n}^{n} =C_{2n+1}^{n+1}
I applied mathematical induction and it didn't work or i did something wrong.
I appreciate your help !