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# Are all elements of an increasing infinite sequence of

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VP
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Are all elements of an increasing infinite sequence of [#permalink]

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08 Mar 2008, 05:44
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Are all elements of an increasing infinite sequence of positive integers odd?
1. All elements of the sequence are divisible by the same odd integer bigger than 1
2. The difference between any consecutive elements of the sequence is even
Director
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08 Mar 2008, 10:12
Statement 1:
Can be true for 1 3 6 9 12 if divided by 3,
Can be true for 12, 18, 36 if divided by 3.
So insufficient

Statement 2:
Can be true for 3 9 15 etc.
Can be true for 2 4 6 8 etc.

So insufficient

Combining these two
Say we have series 12 18 36 all number are divisible by 3 and difference between them is even.
Similarly 3 9 15 is also divisible by 3 and difference between numbers is even as well.

So again insufficinet.

CEO
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08 Mar 2008, 19:23
marcodonzelli wrote:
Are all elements of an increasing infinite sequence of positive integers odd?
1. All elements of the sequence are divisible by the same odd integer bigger than 1
2. The difference between any consecutive elements of the sequence is even

Easy E.

Just imagine multiples of 12 or just odd multiples of 3.
Re: sequences   [#permalink] 08 Mar 2008, 19:23
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