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The sequence S is defined by Sn = 2(Sn – 1) – 4 for each int

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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The sequence S is defined by Sn = 2(Sn – 1) – 4 for each int [#permalink] New post 25 Jul 2018, 17:22
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Question Stats:

80% (00:30) correct 20% (03:26) wrong based on 5 sessions
The sequence S is defined by \(S_n = 2(S_{n – 1}) – 4\) for each integer n ≥ 2. If \(S_1 = 6\), what is the value of \(S_5\)?

(A) –20
(B) 16
(C) 20
(D) 24
(E) 36
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
Re: The sequence S is defined by Sn = 2(Sn – 1) – 4 for each int [#permalink] New post 11 Aug 2018, 16:51
Expert's post
Explanation

The sequence \(S_n = 2(S_{n - 1}) - 4\) can be read as “to get any term in sequence S, double the previous term and subtract 4.”

The problem gives \(S_1\) (the first term) and asks for \(S_5\) (the fifth term):


6
\(S_1\)\(S_2\)\(S_3\)\(S_4\)\(S_5\)



To get any term, double the previous term and subtract 4. To get \(S_2\), double \(S_1\) (which is 6) and subtract 4: \(S_2 = 2(6) - 4 = 8\).

Continue doubling each term and subtracting 4 to get the subsequent term:


68122036
\(S_1\)\(S_2\)\(S_3\)\(S_4\)\(S_5\)

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Sandy
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Re: The sequence S is defined by Sn = 2(Sn – 1) – 4 for each int   [#permalink] 11 Aug 2018, 16:51
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The sequence S is defined by Sn = 2(Sn – 1) – 4 for each int

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