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# A sequence is defined as follows: a(n)= (n)/(n+1) If n is a

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Manager
Joined: 09 Oct 2008
Posts: 83
A sequence is defined as follows: a(n)= (n)/(n+1) If n is a  [#permalink]

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Updated on: 01 Nov 2013, 07:47
5
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:58) correct 28% (02:05) wrong based on 125 sessions

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A sequence is defined as follows:
$$A_n= \frac{n}{n+1}$$
If n is a positive integer, then how many of the first 100 terms of this sequence are less than 0.891?

A. 7
B. 8
C. 9
D. 10
E. 12

M14-03

Originally posted by vishalgc on 12 Oct 2008, 05:01.
Last edited by Bunuel on 01 Nov 2013, 07:47, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
Manager
Joined: 09 Oct 2008
Posts: 83

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12 Oct 2008, 05:47
hi mohammed

can i know why you have not start series from 0? as 0/0+1 = 0/1 =0 < 0.881

In this case you will get 0,1,2,3,4,5,6,7,8--total 9 terms.

Thanks
GMAT Tutor
Joined: 24 Jun 2008
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12 Oct 2008, 06:07
On the GMAT, the first term of a sequence is always a_1 (or b_1, or f(1), etc). Still, they always tell you that in the question itself, so I'm guessing the question above is not a real GMAT question.
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Manager
Joined: 09 Oct 2008
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12 Oct 2008, 06:28
This quastion is from very standard source

Actually it happens many timesthat we forget to consider case 0 .. this time i specially paid attention and i got wrong ..so i was little annoyed and disappoint.. but from now i will consider series to be start from1 if not specified.

Thanks
Retired Moderator
Joined: 05 Jul 2006
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12 Oct 2008, 06:34
why aren't we considering -ve intigers and fractions in this one??
Manager
Joined: 09 Oct 2008
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12 Oct 2008, 07:03
yezz

if we consider -VE and condition will always wrong .. means ratio will alway > 1..

same goes for fraction too..

just check by putting some arbitery values.

Tahsnk
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Joined: 17 Jun 2008
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12 Oct 2008, 10:01
i dont think this is a std GMAT question!!
we are always told the range of n and type of n whether integer +ve or -ve etc
Director
Joined: 30 Jun 2008
Posts: 758

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12 Oct 2008, 10:12
I agree with Ian and Priya. Real GMAT questions will have no ambiguity they will have traps but no ambiguity

They spend a lot too much on one question to ensure it is perfect.
Intern
Joined: 12 Jul 2013
Posts: 9
Concentration: Economics, Finance
GMAT 1: 700 Q50 V34
GPA: 3.46
Re: A sequence is defined as follows: F(n)= (n)/(n+1) How many  [#permalink]

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01 Nov 2013, 06:59
At here, n/(n+1) <0.891 so we have that n=<8. we have 8 numbers which meet the requirement
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Joined: 26 May 2014
Posts: 15
Re: A sequence is defined as follows: a(n)= (n)/(n+1) If n is a  [#permalink]

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15 May 2020, 21:46
As the question says Positive Integer
Least Positive Integer is "1".
"0" is only an integer. It is neither positive nor negative. Also "0" is neither even positive number nor a negative even number.
Intern
Joined: 09 Apr 2020
Posts: 3
Re: A sequence is defined as follows: a(n)= (n)/(n+1) If n is a  [#permalink]

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16 May 2020, 00:22
the ans should be A instead of B as 0 can not be considered because n is a positive integer. if it would have been a non- negative integer we would have considered 0. but the least value we can start as per the condition will be 1. STRONG AMBIGUITY HERE !!!!!
Re: A sequence is defined as follows: a(n)= (n)/(n+1) If n is a   [#permalink] 16 May 2020, 00:22