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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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23 Mar 2016, 17:55
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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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23 Mar 2016, 19:05
(x + 1)! = (x + 1) * x!
(x + 1)!/x! = x + 1

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Joined: 11 Sep 2015
Posts: 4558
GMAT 1: 770 Q49 V46
Re: Which of the following is equal to (x+1)!/x!? A. x-1 B. 1+  [#permalink]

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

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

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

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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09 Feb 2020, 06:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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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