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n/(n+1) gmatclub

by arora007 » Mon Jul 05, 2010 8:36 am
CLOCK ur timing on this gmatclub problem

A sequence is defined as follows:

An = 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

OA is b 8 terms are less than .891
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by amising6 » Mon Jul 05, 2010 8:43 am
arora007 wrote:CLOCK ur timing on this gmatclub problem

A sequence is defined as follows:

An = 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

OA is b 8 terms are less than .891

.89= approx .9 so
.9=9/10
so there will be 8 terms excluding 9 as 9 will give .9
1 to 8
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by selango » Mon Jul 05, 2010 8:46 am
An=n/(n+1)

A1=1/2=0.5

.891 approx to.9 ,An<0.9

Sub n=9 ,A9=0.9

Now try n=8

A8=8/9=0.888.Remaining 7 terms also will be bw 0.5 and 0.891

So first 8 terms.
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by outreach » Mon Jul 05, 2010 8:18 pm
i just took the middle number from the answer choice since the answers are in sorted order.
option C) 9
9/10 = 0.90. it is greater so proceed to option b

option B) 8
8/9 = 0.89

hence correct
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by paridhi » Mon Jul 05, 2010 9:25 pm
arora007 wrote:CLOCK ur timing on this gmatclub problem

A sequence is defined as follows:

An = 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

OA is b 8 terms are less than .891
I have a confusion here, the question says first 100 terms of this sequence. From this how can we assume that the sequence starts with n=1?
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by papgust » Mon Jul 05, 2010 9:31 pm
The question says "n is a positive integer". So, you start from 1. First term of the sequence starts from 1/2 or 0.5.
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by paridhi » Mon Jul 05, 2010 9:48 pm
papgust wrote:The question says "n is a positive integer". So, you start from 1. First term of the sequence starts from 1/2 or 0.5.
"n is a positive integer" could also mean that the series starts with n=2 or 3 or.....
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by selango » Mon Jul 05, 2010 10:32 pm
Yes n is a positive integer.But first 100 terms of sequence means n is from 1 to 100.
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by rsvaishu » Tue Jul 06, 2010 7:02 am
if n=9
9/10 = .9 so no since less than .891

go to lesser value option b

if n = 8

8/9 = .888 yes since less than .891

so 8 terms
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