Question

If ( n+1 )! =12(n-1)! Find the value of n

Answer 1

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Answer 2

Answer:

the value of n is 3.

Step-by-step explanation:

Step 1:

(n + 1)! = 12 (n - 1)!

Step 2:

As we know, n! = n x (n -1) x (n - 2)!

(n +1)! can be written as (n + 1) x (n) x (n-1)!

Step 3:

Therefore,

{(n + 1) x (n) x (n - 1)!} / (n - 1)! = 12

Step 4:

(n + 1) x (n) = 12 [Because (n-1)! gets cancelled out.]

Since 12 can be written as 4 x 3,

Step 5:

(n + 1) x n = 4 x 3

On comparing both sides,

n + 1 = 4; n = 3

n = 3