Question

Simplifique
a- (n+2)!/(n+1)!
B-(n-3)!/(n-2)!​

obs: tive aula sobre esse conteúdo,mas não consegui entender muito...

Answer 1

(n+2)!/(n+1)!

(n+2).(n+1)!/(n+1)!

(n+2)

(n-3)!/(n-2)!

(n-3)!/(n-2).(n-3)!

1/(n-2)

Answer 2

Resposta:

Explicação passo-a-passo:

a)

\frac{(n+2)!}{n+1)!}=\frac{(n+2)(n+1)!}{(n+1)!}=n+2

b)

\frac{(n-3)!}{(n-2)!}=\frac{(n-3)!}{(n-2)(n-3)!}=\frac{1}{n-2}

c)

\frac{(n+1)!+n!}{n!}=\frac{(n+1)n!+n!}{n!}=(n+1)+1=n+2

d)

\frac{n!-(n-1)!}{(n-1)!+(n-2)!}=\frac{n(n-1)(n-2)!-(n-1)(n-2)!}{(n-1)(n-2)!+(n-2)!}=\frac{n(n-1)-(n-1)}{(n-1)+1}=\frac{(n-1)(n-1)}{n}=\\
\\
\frac{(n-1)^2}{n}