Question

prove that : a) n!=n(n-1)n-2! ; b) (n+2) n!=n!+n+1!​

Answer 1

Answer:

order by

up vote

8

down vote

accepted

Suppose that when n=k (k≥4), we have that k!>2k.

Now, we have to prove that (k+1)!>2k+1 when n=(k+1)(k≥4).

(k+1)!=(k+1)k!>(k+1)2k (since k!>2k)

That implies (k+1)!>2k⋅2 (since (k+1)>2 because of k is greater than or equal to 4)

Therefore, (k+1)!>2k+1

Finally, we may conclude that n!>2n for all integers n≥4

i hope it is help you...................

please brainlylist me and follow me please ❤❤❤❤

Answer 2

Answer:

your answer is in the attachment

Step-by-step explanation:

hope it's help you XD