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# Are all elements of an increasing infinite sequence of

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Joined: 22 Nov 2007
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Are all elements of an increasing infinite sequence of [#permalink]  08 Mar 2008, 05:44
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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Re: sequences [#permalink]  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.

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Re: sequences [#permalink]  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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