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# geometric sequence

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Manager
Joined: 24 Nov 2010
Posts: 210
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 70 [0], given: 7

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17 Dec 2011, 08:01
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:17) correct 0% (00:00) wrong based on 7 sessions

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v, w, x, y, z
A geometric sequence is a sequence in which each term after
the first is equal to the product of the preceding term and a
constant. If the list of numbers shown above is an geometric
sequence, which of the following must also be a geometric
sequence?
I. 2v, 2w, 2x, 2y, 2z
II. v + 2, w + 2, x + 2, y + 2, z + 2
III. $$\sqrt{v}, \sqrt{w}, \sqrt{x}, \sqrt{y}, \sqrt{z}$$

(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III
Intern
Joined: 31 Oct 2011
Posts: 47
Location: India
Followers: 0

Kudos [?]: 14 [0], given: 11

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17 Dec 2011, 12:14
My choice is E .Let me know the answer so that i can validate and explain...
_________________

Regards,
Rajesh
Helping hands are anytime better than praying hearts

Kudos ???!@#$$!!! I just love them Manager Joined: 24 Nov 2010 Posts: 210 Location: United States (CA) Concentration: Technology, Entrepreneurship Schools: Ross '15, Duke '15 Followers: 2 Kudos [?]: 70 [0], given: 7 Re: geometric sequence [#permalink] ### Show Tags 18 Dec 2011, 10:47 yeah, E is correct. i) let's say orig sequence v, w, x, y, z = a, ba, b*ba, b*b*ba.. then 2v, 2w, 2x, 2y, 2z will be, 2a, 2ba, 2b*ba, 2*b*b*ba... every number is still a multiplication of the previous term by the constant - b iii) again lets say v, w, x, y, z = a, ba, b*ba, b*b*ba.. then \sqrt{v}, \sqrt{w}, \sqrt{x}, \sqrt{y}, \sqrt{z} = $$\sqrt{a}, \sqrt{ba}, \sqrt{b*b*a}, \sqrt{b*b*ba}$$... The first term in the sequence is now $$\sqrt{a}$$, and every term in the new sequence is still equal to the previous term multiplied by a constant - $$\sqrt{b}$$ Intern Joined: 31 Oct 2011 Posts: 47 Location: India Followers: 0 Kudos [?]: 14 [0], given: 11 Re: geometric sequence [#permalink] ### Show Tags 19 Dec 2011, 02:38 Yes,i took the same route and got E _________________ Regards, Rajesh Helping hands are anytime better than praying hearts Kudos ???!@#$$ !!! I just love them

Manager
Joined: 26 Apr 2011
Posts: 230
Followers: 2

Kudos [?]: 18 [0], given: 14

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19 Dec 2011, 03:10
my ans is E

lets say series is 2,4,8,16,32 where common multiple is 2
let us multiply each term by 3, new series becomes
6,12,24,48,96 which is again a GP whose common multiple is 2

same case applies for square root

while adding 2 to each term will not generate any GP
Re: geometric sequence   [#permalink] 19 Dec 2011, 03:10
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