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# S is the set of all fractions defined by the formula n/(n + 1), where

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Manager
Status: GMAT BATTLE - WIN OR DIE
Joined: 02 May 2011
Posts: 130
Concentration: General Management, Entrepreneurship
GMAT Date: 12-22-2011
GPA: 3.81
WE: General Management (Hospitality and Tourism)
S is the set of all fractions defined by the formula n/(n + 1), where [#permalink]

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04 Jun 2011, 04:26
2
00:00

Difficulty:

25% (medium)

Question Stats:

69% (00:48) correct 31% (00:29) wrong based on 42 sessions

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S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product of all the fractions that are in S?

1) 1/20
2) 1/21
3) 1/2
4) 19/40
5) 19/20
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Joined: 16 Nov 2010
Posts: 1467
Location: United States (IN)
Concentration: Strategy, Technology
Re: S is the set of all fractions defined by the formula n/(n + 1), where [#permalink]

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04 Jun 2011, 04:32
1
1/2 * 2/3 * 3/4 * ... 19/20

= 1/20

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Senior Manager
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
Re: S is the set of all fractions defined by the formula n/(n + 1), where [#permalink]

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16 Sep 2017, 09:37
$$S = { \frac{n}{n+1} }$$

n= 1,2.... 19 <20

$$S= {\frac{1}{2}, \frac{2}{3}, ...... , \frac{18}{19} , \frac{19}{20}}$$

$$Product = \frac{1}{2}*\frac{2}{3}* ...... *\frac{18}{19}*\frac{19}{20} = \frac{1}{20}$$

Re: S is the set of all fractions defined by the formula n/(n + 1), where   [#permalink] 16 Sep 2017, 09:37
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