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In the infinite sequence S, each term Sn after S2 is equal to the sum

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In the infinite sequence S, each term Sn after S2 is equal to the sum [#permalink]

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In the infinite sequence S, each term Sn after S2 is equal to the sum of the two terms \(S_{n– 1}\) and \(S_{n– 2}\). If S1 is 4, what is the value of S2?

(1) S3 = 7
(2) S4 = 10
[Reveal] Spoiler: OA

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Kudos [?]: 135203 [0], given: 12673

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Re: In the infinite sequence S, each term Sn after S2 is equal to the sum [#permalink]

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New post 21 Dec 2015, 03:57
Bunuel wrote:
In the infinite sequence S, each term Sn after S2 is equal to the sum of the two terms \(S_{n– 1}\) and \(S_{n– 2}\). If S1 is 4, what is the value of S2?

(1) S3 = 7
(2) S4 = 10



Hi..
s1 is given.. and each term after 1st and 2nd can be found by adding the trevious two terms..
this means all terms can be finally written in terms of s1 and s2....
therefore any other value in the sequence can help us in finding s2..
(1) S3 = 7
(2) S4 = 10..

both statement give us another value to work on..
each is suff..
ans D
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Re: In the infinite sequence S, each term Sn after S2 is equal to the sum [#permalink]

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New post 21 Dec 2015, 09:00
(1) S3 = 7
S3=S2+S1; 7=S2+4...Suff
(2) S4 = 10
S4=S3+S2 ;10=S3+S2 ......(a)
S3=S2+S1; S3=S1+4.....(b)
From the eqs (a) and (b) .....Suff

Ans: D

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Re: In the infinite sequence S, each term Sn after S2 is equal to the sum [#permalink]

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New post 11 Oct 2017, 10:57
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Re: In the infinite sequence S, each term Sn after S2 is equal to the sum   [#permalink] 11 Oct 2017, 10:57
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