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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 , given: 397

The sequence S is defined by Sn = Sn – 1 + Sn – 2 – 3 for [#permalink]
Expert's post 00:00

Question Stats: 99% (03:10) correct 0% (00:00) wrong based on 7 sessions
The sequence S is defined by $$S_n = S_{n – 1} + S_{n – 2} – 3$$ for each integer n ≥ 3. If $$S_1 = 5$$ and $$S_2 = 0$$, what is the value of $$S_6$$?

(A) –6
(B) –5
(C) –3
(D) –1
(E) 1
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 , given: 397

Re: The sequence S is defined by Sn = Sn – 1 + Sn – 2 – 3 for [#permalink]
Expert's post
Explanation

The sequence $$S_n = S_{n – 1} + S_{n - 2} - 3$$ can be read as “to get any term in sequence S, sum the two previous terms and subtract 3.”

The problem gives the first two terms and asks for the sixth term:

 5 0 $$S_1$$ $$S_2$$ $$S_3$$ $$S_4$$ $$S_5$$ $$S_6$$

To get any term, sum the two previous terms and subtract 3. So the third term will equal 5 + 0 – 3 = 2.

The fourth term will equal 0 + 2 – 3 = –1. The fifth term will equal 2 + (–1) – 3 = –2. The sixth term will equal –1 + (–2) – 3 = –6:

 5 0 2 -1 -2 -6 $$S_1$$ $$S_2$$ $$S_3$$ $$S_4$$ $$S_5$$ $$S_6$$

_________________

Sandy
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Try our free Online GRE Test Re: The sequence S is defined by Sn = Sn – 1 + Sn – 2 – 3 for   [#permalink] 11 Aug 2018, 16:54
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