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GRE Math Challenge #10 The nth term of the sequence a 1 , a [#permalink]
05 Aug 2014, 03:49
Question Stats:
92% (00:30) correct
7% (00:53) wrong based on 77 sessions
The nth term of the sequence \(a_{1}\) , \(a_{2}\) , \(a_{3}\) , …, an is defined as \(a_{n} =  (a_{n  1} )\). The first term \(a_{1} = – 1\).
Quantity A 
Quantity B 
\(a_{5}\) 
\(1\) 
A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given Kudos for the right answer and solution.
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Re: GRE Math Challenge #10 [#permalink]
06 Aug 2014, 01:44
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Using a1 = 1, we get a2 = ()a1 = 1 similarly a3 would be 1. Therefore, the odd nos. in the series will be ()1 and even nos. will be 1. Hence, a5 = ()1. Column (B) is greater than Column (A).
The correct answer would be (B)



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Re: GRE Math Challenge #10 The nth term of sequence [#permalink]
08 Dec 2017, 00:17
a odd are 1 a even are 1 so the answer is B



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The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
24 Apr 2018, 09:32



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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
04 May 2018, 04:11
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On resolving we would get a sequence where all odd numbers in the series would be 1 and all even numbers would be +1. So a1, a3, a5, ..so on have values 1. a2, a4, a6, ... so on have +1.
Hence B is greater as a5 would have value of 1



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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
04 May 2018, 11:13
can someone please explain this. I do not understand how we solve the terms



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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
05 May 2018, 12:30
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It is given that \(a_{1}=1\) and \(a_{n}=a_{n1}\). So \(a_{2}=a_{1}=1\). And \(a_{3}=a_{2}=1\). So we can see every odd term is 1 and every even term is +1. So \(a_{5]\) must be 1. Hence option B is correct!
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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
09 Jul 2018, 18:50
Carcass wrote: The nth term of the sequence a 1 , a 2 , a 3 , …, an is defined as \(a_{n} = (a_{n  1} )\). The first term a1 equals –1.
Quantity A 
Quantity B 
a5 
1 
A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given Kudos for the right answer and solution. My Answer is B



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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
10 Jul 2018, 08:22
The sequence: 1 1 1 1 1 > a5 = 1 > B.
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Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def [#permalink]
25 Oct 2018, 01:37
thanks for the explanation




Re: The nth term of the sequence a 1 , a 2 , a 3 , …, a n is def
[#permalink]
25 Oct 2018, 01:37





