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Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+

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Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 23 Mar 2016, 17:55
1
2
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A
B
C
D
E

Difficulty:

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Question Stats:

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Which of the following is equal to (x+1)!/x!?

A. x-1
B. 1+(1/x)
C. 1
D. x+1
E. x


* A solution will be posted in two days.

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Re: Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 23 Mar 2016, 19:05
(x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1

Answer: D
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Re: Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 23 Mar 2016, 19:29
3
MathRevolution wrote:
Which of the following is equal to (x+1)!/x!?

A. x-1
B. 1+(1/x)
C. 1
D. x+1
E. x



(x+1)!/x! = (x+1)(x)(x-1)(x-2)...(2)(1)/(x)(x-1)(x-2)...(2)(1)
= x + 1
= D

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Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 23 Jun 2016, 17:43
Plugin
let x=20
(20+1)!/20!
21!/20!=21=20+1=x+1(Answer)
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Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 24 Jun 2016, 22:23
gps5441 wrote:
Plugin
let x=20
(20+1)!/20!
21!/20!=21=20+1=x+1(Answer)


USe some smaller number you can do the calculations easily..

Let x = 2

\(\frac{(x+1)!}{x!}\) => \(\frac{3!}{2!}\) =\(\frac{6}{2}\) = \(3\)

So, the answer will be x + 1

Hope this helps...

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Re: Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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New post 09 Feb 2020, 06:27
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Re: Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+   [#permalink] 09 Feb 2020, 06:27
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