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If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 54376
If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a  [#permalink]

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New post 03 Apr 2019, 23:16
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:23) correct 21% (01:19) wrong based on 14 sessions

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CEO
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Joined: 18 Aug 2017
Posts: 3006
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a  [#permalink]

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New post 04 Apr 2019, 02:17
Bunuel wrote:
If the sequence \(a_1\),\(a_2\), \(a_3\), ..., \(a_n\) is such that \(a_1 = 6\) and \(a_n = 2a_{(n - 1)}\) for \(n > 1\), then \(a_6 - a_5 =\)

A. 12

B. 48

C. 64

D. 96

E. 192


a1=6
a2=12
a3=24
a4=48
a5=96
a6==192
192-96 = 96
IMO D
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Joined: 19 Jan 2017
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Re: If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a  [#permalink]

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New post 09 Apr 2019, 23:27
an=2a(n−1) therefore a6 = 2 X a5

we will put this value in the given equation,

a6- a5 = 2 x a5 - a5 = a5

therefore ans is D.
GMAT Club Bot
Re: If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a   [#permalink] 09 Apr 2019, 23:27
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If the sequence a1, a2, a3, ..., an is such that a1 = 6 and an = 2a

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