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# The sequence a1, a2, , a n, is such that an = 2an-1 - x for

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Joined: 31 Dec 1969
Location: Russian Federation
WE: Supply Chain Management (Energy and Utilities)
The sequence a1, a2, , a n, is such that an = 2an-1 - x for  [#permalink]

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20 Oct 2004, 08:58
The sequence a1, a2, â€¦ , a n, â€¦ is such that an = 2an-1 - x for all positive integers n ≥ 2 and for 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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Senior Manager
Joined: 19 May 2004
Posts: 271

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20 Oct 2004, 11:45
1
1
A.

a5=2*a4 - X => 99+X = 2*a4.

a4=2*a3 - X => (99+X)/2 =2*27 - X.

Solve and get X=3.
Manager
Joined: 09 Sep 2004
Posts: 135

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20 Oct 2004, 16:00
1
I agree with Dookie - A
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Re: The sequence a1, a2, , a n, is such that an = 2an-1 - x for  [#permalink]

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18 Sep 2018, 05:08
Hello from the GMAT Club BumpBot!

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Re: The sequence a1, a2, , a n, is such that an = 2an-1 - x for   [#permalink] 18 Sep 2018, 05:08
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