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divisible by 3 of the sequence

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by ruplun » Sun Jun 26, 2011 2:09 am
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
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by Frankenstein » Sun Jun 26, 2011 2:53 am
Hi,
From(1): if p= 3, every term in S divisible by p
if p = 11, some are divisible by p and some are not
Not sufficient
From(2): Consider the same set of values for p i.e. 3 and 11
Not sufficient
Both(1)&(2):
Same set
Not sufficient

Hence, E
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