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Updated on: 08 Oct 2020, 10:13
Originally posted by SaidNassar1991 on 07 Oct 2020, 08:56.
Last edited by SaidNassar1991 on 08 Oct 2020, 10:13, edited 3 times in total.
Last edited by SaidNassar1991 on 08 Oct 2020, 10:13, edited 3 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
49% (02:11) correct
51%
(01:53)
wrong
based on 93
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Given a positive sequence \( e_1, e_2,... e_7. \)
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
07 Oct 2020, 11:11
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SaidNassar1991
Given a sequence \( e_1, e_2,... e_7. \)
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
I'm guessing whoever designed the question thinks the answer is B (where is the question from?) but it is not. It is C.
Here, 27^9 and 3^27 are the same number. If you have a sequence that is either constantly increasing or constantly decreasing, and you know the middle term is 3^27, then either all of the terms after 3^27 or all of the terms before 3^27 will be greater than 3^27. So if we knew this sequence was either always increasing or always decreasing, then using Statement 2 alone, there would be three terms in the sequence larger than 27^9.
The problem is, a sequence defined this way might not be constantly increasing or constantly decreasing. For example, if the first term in this sequence were -8, and the exponent k was 2/3, then the sequence would look like this, rounding off to two decimal places:
-8, 4, 2.52, 1.86, ...
Notice this sequence increases at first, then decreases. The same could happen with the sequence defined in this question, using only Statement 2, which is why we need to know the first term and the answer is C.
07 Oct 2020, 11:45
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IanStewart
SaidNassar1991
Given a sequence \( e_1, e_2,... e_7. \)
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
In the sequence shown, \( e_n= e_{n-1}^k \), where \( 2 \leq n \leq 7 \) and \( k \) is a nonzero constant. How many of the terms in the sequence are greater than \( 27^9 \)?
(1) \( e_1= 3 \)
(2) \( e_4= 3^{27} \)
Posted from my mobile device
I'm guessing whoever designed the question thinks the answer is B (where is the question from?) but it is not. It is C.
Here, 27^9 and 3^27 are the same number. If you have a sequence that is either constantly increasing or constantly decreasing, and you know the middle term is 3^27, then either all of the terms after 3^27 or all of the terms before 3^27 will be greater than 3^27. So if we knew this sequence was either always increasing or always decreasing, then using Statement 2 alone, there would be three terms in the sequence larger than 27^9.
The problem is, a sequence defined this way might not be constantly increasing or constantly decreasing. For example, if the first term in this sequence were -8, and the exponent k was 2/3, then the sequence would look like this, rounding off to two decimal places:
-8, 4, 2.52, 1.86, ...
Notice this sequence increases at first, then decreases. The same could happen with the sequence defined in this question, using only Statement 2, which is why we need to know the first term and the answer is C.
I think this question is modeled after the following GMAT Prep question: https://gmatclub.com/forum/in-the-seque ... 26119.html
