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p,r,s,t,u An arithmetic sequance is a sequence in which each

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Manager
Joined: 23 Mar 2008
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p,r,s,t,u An arithmetic sequance is a sequence in which each [#permalink]  13 Apr 2008, 10:02
p,r,s,t,u

An arithmetic sequance is a sequence in which each term after the first is equal to the sum bof the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. 2p, 2r, 2s, 2t,2u
II. p-3, r-3, s-3, t-3, u-3
III. p^2, r^2, s^2, t^2, u^2

a) I only
b) II only
c) III only
d) I and II only
e) II and III only
Senior Manager
Joined: 28 Feb 2007
Posts: 306
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Re: sequence [#permalink]  13 Apr 2008, 10:53
B.
AS-arith. sequence.
X- any real number.
AS(1) +/- X = AS(2) (always true).
Manager
Joined: 25 Mar 2008
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Re: sequence [#permalink]  13 Apr 2008, 11:14
can u describe in details plsssssssssssss?
Director
Joined: 14 Oct 2007
Posts: 759
Location: Oxford
Schools: Oxford'10
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Re: sequence [#permalink]  13 Apr 2008, 13:03
let the original sequence be written as below by adding the constant each time

p, p+c, p+2c, p+3c, p+4c

lets transform the above as per our choices

I) 2p, 2p+2c, 2p+4c, 2p+6c, 2p+8c (this is an arithmetic seq. since there is an equal increase of 2c in each term of the sequence)
II) p-3, p+c-3, p+2c-3, p+3c -3, p+4c-3 (this is an arithmetic seq, since there is an equal increase of c in each term)
III) p^2, (p+c)^2, (p+3c)^2.... (just looking at the first 3 terms, the increase isn't constant, since in the second term the increase is 2pc+ c^2 and in the third term the increase is 6pc+9c^2)

so the answer is D

puma wrote:
p,r,s,t,u

An arithmetic sequance is a sequence in which each term after the first is equal to the sum bof the preceding term and a constant. If the list of numbers shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. 2p, 2r, 2s, 2t,2u
II. p-3, r-3, s-3, t-3, u-3
III. p^2, r^2, s^2, t^2, u^2

a) I only
b) II only
c) III only
d) I and II only
e) II and III only
Current Student
Joined: 28 Dec 2004
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Location: New York City
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Re: sequence [#permalink]  13 Apr 2008, 13:11
I will go with D as welll..

option 3 is a geometric squence..and its sum may not be a sequence..
CEO
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Posts: 2994
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Re: sequence [#permalink]  14 Apr 2008, 21:00
Agree with D - Whats the OA ?
Re: sequence   [#permalink] 14 Apr 2008, 21:00
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p,r,s,t,u An arithmetic sequance is a sequence in which each

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