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If n + 1 ! = ...

Question

If $(n + 1)! = 12 (n - 1)!$ , then the value of $n$ is

A

2

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B

3

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C

4

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D

5

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Solution

The correct option is B $3$
$(n + 1)! = 12 (n - 1)! \Rightarrow (n + 1) \times n \times (n - 1)! = 12 \times (n - 1)! \Rightarrow n (n + 1) = 12 \Rightarrow n^{2} + n - 12 = 0 \Rightarrow (n + 4) (n - 3) = 0 \Rightarrow n = 3$ $(∵ n$ can't be negative $)$

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Similar questions

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

find the value of

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