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S is an infinite sequence, in which the value of a [#permalink]

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23 Sep 2011, 23:23

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A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

23% (02:02) correct
77% (01:22) wrong based on 212 sessions

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S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

(1) The 1st term is 1. (2) The 3rd term is 3.

St1: t1 = 1 Let t2 = x t3 = t2-t1= x-1 ( difference between the two preceding members of the sequence) t4 = t3-t2 = x-1-x = -1 t5 = t4-t3 = -1-x+1= -x t6 = t5 -t4 = -x+1 = 1-x t7 = t6-t5 = 1-x+x = 1

If u carefully see , this follows are particular pattern; first 3 terms , then next 3 ( but negative).. this is symmetry .. and will continue ( t7 will start again with 1) hence t 7 = 1 t 13 = 1 t19=1 t25= 1 t31= 1 t 37= 1 t 43 = 1

S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

(1) The 1st term is 1. (2) The 3rd term is 3.

St1: t1 = 1 Let t2 = x t3 = t2-t1= x-1 ( difference between the two preceding members of the sequence) t4 = t3-t2 = x-1-x = -1 t5 = t4-t3 = -1-x+1= -x t6 = t5 -t4 = -x+1 = 1-x t7 = t6-t5 = 1-x+x = 1

If u carefully see , this follows are particular pattern; first 3 terms , then next 3 ( but negative).. this is symmetry .. and will continue ( t7 will start again with 1) hence t 7 = 1 t 13 = 1 t19=1 t25= 1 t31= 1 t 37= 1 t 43 = 1

Hence statement 1 : sufficient

St 2: not much of help .

hence its A.

I could get to the answer, but took almost 2:30 to evaluate both the options. Can anyone please provide a quicker solution?

With the above assumption, "C" would be the answer.

But, if the question were written like this:

S is an infinite sequence, in which each term \(S_n=S_{(n-1)}-S_{(n-2)}\), such that n>=3. What is the value of the 43rd member of the sequence?

1. \(S_1=1\) 2. \(S_3=3\)

Why would the answer be c? you could have a sequence: 1,-2,3 or you could have 1,4,3. So the fourth term would be different in these two cases!! What is the source of this question?? Answer would be A as nicely explained by sudhir18n.[/quote]

Re: S is an infinite sequence, in which the value of a [#permalink]

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28 May 2013, 10:13

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gmatprep2011 wrote:

S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

Re: S is an infinite sequence, in which the value of a [#permalink]

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03 Jul 2013, 08:04

Hello.. Can we say that as the question stands now, the answer is "E". I feel so as there is no way to know whether t3= t2-t1 or t3= t1-t2.... Thanks in advance!

S is an infinite sequence, in which the value of a [#permalink]

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21 Sep 2014, 09:56

Bunuel wrote:

gmatprep2011 wrote:

S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

Re: S is an infinite sequence, in which the value of a [#permalink]

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21 Sep 2014, 11:41

Expert's post

gauravkaushik8591 wrote:

Bunuel wrote:

gmatprep2011 wrote:

S is an infinite sequence, in which the value of a particular member of the sequence is equal to the difference between the two preceding members of the sequence. What is the value of the 43rd member of the sequence?

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