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

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Math Expert
Joined: 02 Sep 2009
Posts: 47169
In the infinite sequence S, each term Sn after S2 is equal to the sum  [#permalink]

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20 Dec 2015, 05:58
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68% (01:04) correct 32% (00:47) wrong based on 111 sessions

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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

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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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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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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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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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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11 Oct 2017, 10:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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