Exercícios sobre Fatorial

Exercícios  Calcule:
1) a) 6!+3!                            b) 9!       c)         4!-5!                     d) 9!+8!    e) 6!         f) 7!-6!
         5!                                     7!                          3!                        7!          4!                  6!
2) Simplifique as expressões:
a) (n+1)!                                b) (2n+l)!                c) (n-1)!                  d) __n!  

      n!                                          (2n-1)!                      n!                          (n-1)! 

3) Simplifique as expressões:
a) (n+2)!                                b) (2n-2)!                c) (n+1)!                                 d) __(n+1)!  

      n!                                          (2n-1)!                      n!                                               (n-1)!            

4) Resolva as equações:
a) (x-2)! = 2(x-1)!                 b) (n-2)!=2(n-4)!                  c) (n+2)! = 120                    d) (n+5)! = 1

5) Resolva as equações:
a) x! = 15(x-1)!                     b) (n-1)!=2(n-3)!                  c) (n-2)! = 720                     d) (n-9)! = 1

Respostas: 

1)a)121/20; b)72; c)-16; d) 80; e)30; f) 6  2) a) n+1; b)4n2+2n c) 1/n; d) n

3)a) n2+3n+2; b)1/2n+1; c) n+1; d) n2+n; 4) a) 3/2; b) 4; c) 3; d)-5, -4; 5)a) 15; b) 3; c) 8; d) 9, 10.