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PS - Series

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Senior Manager
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Joined: 30 Nov 2008
Posts: 483

Kudos [?]: 367 [0], given: 15

Schools: Fuqua
PS - Series [#permalink]

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New post 18 Dec 2008, 12:26
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(J+K)th term of the GP (geometric progression) is equal M (J-K)th term of the GP is equal N. What is a Jth term of the GP?

1) (M+N)^0.5
2) (M-N)^0.5
3) (M/N)^0.5
4) (MN)^0.5

Kudos [?]: 367 [0], given: 15

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Joined: 29 Aug 2007
Posts: 2471

Kudos [?]: 856 [0], given: 19

Re: PS - Series [#permalink]

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New post 18 Dec 2008, 15:20
mrsmarthi wrote:
(J+K)th term of the GP (geometric progression) is equal M (J-K)th term of the GP is equal N. What is a Jth term of the GP?

1) (M+N)^0.5
2) (M-N)^0.5
3) (M/N)^0.5
4) (MN)^0.5


E: ITS NOT A GMAT FAVORITE QUESTION.

AR^(J+K) = M ..............1
AR^(J-K) = N ...............2

DIVIDE 1 BY 2

AR^(J+K) / AR^(J-K) = M/N

R^K = SQRT(M/N) .....................3

PUT THE VALUE OF R^K ON EQ EITHER 1 (OR 2):
AR^(J+K) = M
AR^J R^K = M
AR^J (SQRT(M/N)) = M
AR^J = M /SQRT(M/N)
AR^J = SQRT(MN)

SO E.
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GT

Kudos [?]: 856 [0], given: 19

Re: PS - Series   [#permalink] 18 Dec 2008, 15:20
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