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# The sequence a1, a2, . . . an, . . . is such that

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Manager
Joined: 20 Jul 2018
Posts: 88
GPA: 2.87
The sequence a1, a2, . . . an, . . . is such that  [#permalink]

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02 Sep 2018, 20:07
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Question Stats:

100% (01:13) correct 0% (00:00) wrong based on 4 sessions

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The sequence a1, a2, . . . an, . . . is such that
an = 2an1 − x for all positive integers $$n ≥ 2$$ and for a
certain number x. If a5 = 99 and a3 = 27, what is the
value of x ?
(A) 3
(B) 9
(C) 18
(D) 36
(E) 45

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Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas
Intern
Joined: 21 Aug 2018
Posts: 1
Re: The sequence a1, a2, . . . an, . . . is such that  [#permalink]

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02 Sep 2018, 20:43
9

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Intern
Joined: 04 Aug 2018
Posts: 1
Re: The sequence a1, a2, . . . an, . . . is such that  [#permalink]

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02 Sep 2018, 20:50
a4=54-x
99=108-3x
X=3

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 55802
Re: The sequence a1, a2, . . . an, . . . is such that  [#permalink]

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02 Sep 2018, 21:04
hasnain3047 wrote:
The sequence a1, a2, . . . an, . . . is such that
an = 2an1 − x for all positive integers $$n ≥ 2$$ and for a
certain number x. If a5 = 99 and a3 = 27, what is the
value of x ?
(A) 3
(B) 9
(C) 18
(D) 36
(E) 45

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Re: The sequence a1, a2, . . . an, . . . is such that   [#permalink] 02 Sep 2018, 21:04
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