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Director
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In the sequence of positive numbers X1, X2, X3, ..., what is [#permalink]
 14 May 2006, 05:20
Question Stats:
50% (00:00) correct
50% (01:30) wrong based on 1 sessions
In the sequence of positive numbers X1, X2, X3, ..., what is the value of X1?
1) X(i) = X(i-1)/2
2) X(5) = X(4)/X(4)+1
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VP
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M8 wrote: In the sequence of positive numbers X1, X2, X3, ..., what is the value of X1?
1) X(i) = X(i-1)/2
2) X(5) = X(4)/X(4)+1
do you mean X(5) = X(4)/X(4)+1 ......... as .......... X(5) = [X(4)/X(4)] + 1
or as X(5) = X(4)/[X(4)+1] ?
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Manager
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M8 wrote: In the sequence of positive numbers X1, X2, X3, ..., what is the value of X1?
1) X(i) = X(i-1)/2
2) X(5) = X(4)/X(4)+1
1) tells us nothing of the values of the terms
2) tells us nothing of the sequence
together:
from 1: Each term is half of the preceeding term.
from 2: the only way for this stmt to be true and to follow the seqyence is if x(4) = 1. Therefore, x(1) = 8.
C
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Director
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In the sequence of positive numbers X1, X2, X3, ..., what is the value of X1?
1) X(i) = X(i-1)/2
2) X(5) = X(4)/X(4)+1
From (1), X(1) = x(0)/2
Not Sufficient
From (2), X(1) = X(0)/{X(0) + 1}
Not Sufficient.
Taking both together, lets assume X(0) = a
Thus a/2 = a/(a+1)
Solving for a yields a=1
Hence C
What is OA?
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Manager
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M8 wrote: In the sequence of positive numbers X1, X2, X3, ..., what is the value of X1?
1) X(i) = X(i-1)/2
2) X(5) = X(4)/X(4)+1
hm..interesting..
step1) from2), x(5)=2 cuz, X(4)/x(4) = 1
step2) from1) x(5)=x(4)/2 =2 so x(4)=4
... thus, C
_________________
Stay hungry, Stay foolish
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Director
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Professor wrote: do you mean X(5) = X(4)/X(4)+1 ......... as .......... X(5) = [X(4)/X(4)] + 1
or as X(5) = X(4)/[X(4)+1] ?
Sorry Prof, of course X(4)/[X(4)+1]. I do not know how to depict small digits in the sequence in this forum so I just depicted them in parentheses.
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