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In a certain infinite sequence

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In a certain infinite sequence [#permalink] New post 02 Jul 2005, 22:56
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In a certain infinite sequence n(1)=7,n(2)=70,n(3)=700,n(x)=10*n(x-1)

Is the integer j a factor of every member of n?

S1. j is a prime number.

S2. j is a factor of more than one member of the sequence
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Re: DS - Infinite sequence divisior [#permalink] New post 03 Jul 2005, 00:31
AJB77 wrote:
In a certain infinite sequence n(1)=7,n(2)=70,n(3)=700,n(x)=10*n(x-1)

Is the integer j a factor of every member of n?

S1. j is a prime number.

S2. j is a factor of more than one member of the sequence


1) insuff - 7 yes, 5 and 2 no
2) 1 and 7 factors of every member, 2,5, 10, 70 etc are factors of more than one member but not all

1)+2) insuff, 7 yes and 5 and 2 no again

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Re: DS - Infinite sequence divisior [#permalink] New post 03 Jul 2005, 01:13
AJB77 wrote:
In a certain infinite sequence n(1)=7,n(2)=70,n(3)=700,n(x)=10*n(x-1)

Is the integer j a factor of every member of n?

S1. j is a prime number.

S2. j is a factor of more than one member of the sequence


Shouldn't the general Xth term be n(x) = [10^(x-1)]*n.

Agree with sparky, E.

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 [#permalink] New post 03 Jul 2005, 10:18
i think the n(x)=n*(10^(x-1))

E it should be...

we have 3 primes, 7, 5 and 2


it could be anyone...
  [#permalink] 03 Jul 2005, 10:18
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