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In the infinite sequence S, each term S(n) after S(2) is

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Joined: 29 Jan 2005
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In the infinite sequence S, each term S(n) after S(2) is [#permalink]

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01 Dec 2005, 06:42
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In the infinite sequence S, each term S(n) after S(2) is equal to the sum of the two terms S(n-1) and S(n-2). If S(1) is 4, what is the value of S(2)?

1. S(3)=7
2. S(4)=10

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SVP
Joined: 24 Sep 2005
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01 Dec 2005, 06:56
GMATT73 wrote:
In the infinite sequence S, each term S(n) after S(2) is equal to the sum of the two terms S(n-1) and S(n-2). If S(1) is 4, what is the value of S(2)?

1. S(3)=7
2. S(4)=10

1. S(3)= S(1)+S(2) ---> S(2)= S(3)- S(1)= 7-4=3 --->suff
2. S(4)=S(3)+S(2)= S(1)+S(2)+S(2)= S(1)+2S(2) ----> S(2)= (10-4)/2= 3 ---->suff

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Current Student
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01 Dec 2005, 07:01
laxieqv wrote:
GMATT73 wrote:
In the infinite sequence S, each term S(n) after S(2) is equal to the sum of the two terms S(n-1) and S(n-2). If S(1) is 4, what is the value of S(2)?

1. S(3)=7
2. S(4)=10

1. S(3)= S(1)+S(2) ---> S(2)= S(3)- S(1)= 7-4=3 --->suff
2. S(4)=S(3)+S(2)= S(1)+S(2)+S(2)= S(1)+2S(2) ----> S(2)= (10-4)/2= 3 ---->suff

Thanx Laxie. Didn`t see that trick in statement 2.

OA is of course D.

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02 Dec 2005, 04:45
From 1 we get S3= S2+S1
7=S2+4
=>S2=3 Suff.
From 2 we get S4=S2+S3
S4=S2+S2+S1=2S2+S1
10 = 2S2+4 => S2=3 Suff.
Hence D.

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Re: DS Sequence   [#permalink] 02 Dec 2005, 04:45
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