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# if S is the infinite sequence S1 =9, S2=99, S3=999, ,

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Manager
Joined: 16 Apr 2009
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if S is the infinite sequence S1 =9, S2=99, S3=999, , [#permalink]

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14 Jul 2009, 14:54
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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 prime number p?

1. p is greater than 2
2. At least one term in sequence S is divisible by p
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Kudos [?]: 101 [0], given: 10

Senior Manager
Joined: 25 Mar 2009
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14 Jul 2009, 15:06
1. If p = 3, then yes every term is divisible by p.
If p = 5, then no every term is not divisible by p.
INSUFFICIENT

2. At least one term is divisible by p. So let’s try S2=99. If we divide that by 11, we get 9. If we try S1=9, and divide that by 11, we don’t get an integer.
If our divisor (correct term?) is 3 instead, then yes, all terms are divisible by p.
INSUFFICIENT

E

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Current Student
Joined: 13 Jan 2009
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14 Jul 2009, 16:25
Topher is right on target

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Intern
Joined: 03 Jul 2009
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15 Jul 2009, 01:08
Stmt 1) p>2 ; may be 3, 5,7 .....
2) Say 11, but 9 or 999 are divisible by 11.
So Ans "E" OA?

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Manager
Joined: 16 Apr 2009
Posts: 231

Kudos [?]: 101 [0], given: 10

Schools: Ross

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15 Jul 2009, 18:52
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Kudos [?]: 101 [0], given: 10

Re: sequence   [#permalink] 15 Jul 2009, 18:52
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