Question

simplifiquei
as expressões
a)n!/(n-1)!
b)2n+2)!/2n+1)!
c)n!-(n+1)!/n!
d)(n+2)!/(n-1)!

Answer 1

a) n!/(n - 1)! =
n * (n - 1)!/(n - 1)! =

n

b) (2n + 2)!/(2n + 1)! =
(2n + 2) * (2n + 1)!/(2n + 1)! =

2n + 2

c) n! - (n + 1)/n! =
n! - (n + 1) * n!/n! =
n! * (1 - n - 1)/n! =

- n

d) (n + 2)!/(n - 1)! =
(n + 2) * (n + 1) * n * (n - 1)!/(n - 1)! =
(n + 2) * (n + 1) * n =
(n² + n + 2n + 2) * n =
(n² + 3n + 2) * n =

n³ + 3n² + 2n

Answer 2

simplifiquei
as expressões
a)n!/(n-1)!

R: n

b)2n+2)!/2n+1)!

R:2n+2

c)n!-(n+1)!/n!

R: - n

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

R: n^3 +3n^2 + 2n