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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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The sequence S is defined by Sn = Sn – 1 + Sn – 2 – 3 for [#permalink]
Expert's post 00:00

Question Stats: 100% (02:00) correct 0% (00:00) wrong based on 16 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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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3028 , given: 394

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 $$S_1$$ $$S_2$$ $$S_3$$ $$S_4$$ $$S_5$$ $$S_6$$

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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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