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Math Expert V
Joined: 02 Sep 2009
Posts: 58415
In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

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Difficulty:   15% (low)

Question Stats: 81% (01:17) correct 19% (01:33) wrong based on 61 sessions

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In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81

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Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

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E

Let’s say x is the first number.
We have 5th number =x*3^(-4) =3
Solving for x,
X=243

Hence second number =81

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Intern  B
Joined: 21 Jan 2018
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GMAT 1: 740 Q49 V42 GPA: 3.8
Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

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E - can work backwards quickly in this case .

1/3X = 3 (where x is the fourth term), then X = 9. Continue to work backwards with this method, you'll find the 3rd term = 27 and the second term is 81.
Senior Manager  G
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Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

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Bunuel wrote:
In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81

a5 = (a4)/3 = 3

a4 = 9

a4 = (a3) / 3 = 9

a3 = 27

a3 = (a2) /3 = 27

a2 = 81 = E the answer

thanks
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Re: In a list of numbers, each number after the first is exactly 1/3 the n  [#permalink]

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Bunuel wrote:
In a list of numbers, each number after the first is exactly 1/3 the number immediately preceding it. If the fifth number in the list is 3, what is the second number in the sequence?

(A) 1/9

(B) 1/3

(C) 1

(D) 27

(E) 81

$$5^{th}$$ Number = 3
$$4^{th}$$ Number = 9
$$3^{rd}$$ Number = 27
$$2^{nd}$$ Number = 81, Answer must be (E)
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