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PS: Series

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Retired Moderator
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Joined: 18 Jul 2008
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Kudos [?]: 284 [0], given: 5

PS: Series [#permalink]

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New post 22 Apr 2009, 17:50
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D
E

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Series A(n) is such that i*A(i) = j*A(j) for any pair of positive integers (i, j). If A(1) is a positive integer, which of the following is possible?

I. 2A(100) = A(99) + A(98)

II. A(1) is the only integer in the series

III. The series does not contain negative numbers


I only
II only
I and III only
II and III only
I, II, and III

Kudos [?]: 284 [0], given: 5

Intern
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Joined: 07 Feb 2009
Posts: 48

Kudos [?]: 16 [0], given: 1

Re: PS: Series [#permalink]

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New post 22 Apr 2009, 21:49
any one please solve this...
how to start is a big problem here.

Kudos [?]: 16 [0], given: 1

Manager
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Joined: 05 Jul 2008
Posts: 136

Kudos [?]: 122 [0], given: 40

GMAT 2: 740 Q51 V38
Re: PS: Series [#permalink]

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New post 23 Apr 2009, 04:53
bigfernhead wrote:
Series A(n) is such that i*A(i) = j*A(j) for any pair of positive integers (i, j). If A(1) is a positive integer, which of the following is possible?

I. 2A(100) = A(99) + A(98)

II. A(1) is the only integer in the series

III. The series does not contain negative numbers


I only
II only
I and III only
II and III only
I, II, and III


D for me.
i=1: 1 * A(1)= j * A(j)
Let A(1) be X (X is a positive integer) so A(n)= X/n (n is a positive integer)
II is possible because if X = 1, A(j)= 1/j while j is a positive number so A(j) is not a integer
III is true
I: 2 A(100) = 2 * X/100 = X/50
A(98) + A(99)= X/98 + X/99
So I is not possible because X is different from 0

It's nice to be here since a long time, wow, so much new posters.

Kudos [?]: 122 [0], given: 40

Re: PS: Series   [#permalink] 23 Apr 2009, 04:53
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