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If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1

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If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 19 Feb 2012, 09:49
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If S is the infinite sequence: S1=9, S2=99, S3=999, ..., SK = 10^K-1, ..., is every term in S divisible by the prime number p?

(1) p is greater than 2.

(2) At least one term in sequence S is divisible by p.

I think with statement 2 - if P is 3 then all the terms in the sequence are divisible by P
So my answer is B

Please advise.
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 19 Feb 2012, 10:50
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morya003 wrote:
If S is the infinite sequence: S1=9, S2=99, S3=999, ..., SK = 10^K-1, ..., is every term in S divisible by the prime number p?

(1) p is greater than 2.

(2) At least one term in sequence S is divisible by p.


No, B is not correct. It's straight E: if p=3 then every term in S is divisible by p but if p=11 then some terms in S are divisible by p (for example 99 and 9999) and some are not (for example 9 and 999). Not sufficient.

Answer: E.

hope it's clear.
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 21 Feb 2012, 03:24
+1 E

Question tends to make you just go for 3 & you choose C but as Bunuel pointed out if you use 11 the assumption fails
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 22 Jan 2013, 05:43
what would be the equations for each statement?
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 22 Jan 2013, 06:23
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 22 Jan 2013, 08:20
If you were to test examples to satisfy the equations what would they be examples for each statement.
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Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1 [#permalink] New post 22 Jan 2013, 08:24
Re: If S is the infinite sequence S1=9 S2=99 S3=999 SK=10^k-1   [#permalink] 22 Jan 2013, 08:24
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