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An infinite sequence of positive integers is called an alpha

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Senior Manager
Joined: 10 Mar 2008
Posts: 355
An infinite sequence of positive integers is called an alpha [#permalink]

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03 Sep 2008, 12:03
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An infinite sequence of positive integers is called an alpha sequence if the number of even integers in the sequence is finite. If S is an infinite sequence of positive integers, is S an alpha sequence?

1. The first 10 integers of S are even

2. An infinite number of integers in S are odd.
Manager
Joined: 09 Jul 2007
Posts: 245

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03 Sep 2008, 12:26
IMO E.

1 ) tells us about the 1st 10 numbers but not about the rest of the infinite numbers

2 ) odd + even = infinite ; odd=infinite does not mean that even=finite
Senior Manager
Joined: 10 Mar 2008
Posts: 355

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03 Sep 2008, 13:32
Well, that makes perfect sense and I did not have trouble deriving the answer. However, i wasnt sure as to what this questions was attempting to test. Any idea?

What is the take away here?
Manager
Joined: 28 Aug 2008
Posts: 100

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03 Sep 2008, 13:33
E...

Both statements are clearly insufficient
VP
Joined: 05 Jul 2008
Posts: 1401

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03 Sep 2008, 16:23
vksunder wrote:
Well, that makes perfect sense and I did not have trouble deriving the answer. However, i wasnt sure as to what this questions was attempting to test. Any idea?

What is the take away here?

Just confusing with words we dont hear in normal math. For a min I was confused about why the hell an infinite sequence is finite? In fact the stem says that infinite sequence with finite number of integers.

To me the take away is DONT PUSH THE PANIC BUTTON. (Which I do very easily)
Manager
Joined: 03 Jun 2008
Posts: 135
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS

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06 Sep 2008, 23:54
vksunder wrote:
An infinite sequence of positive integers is called an alpha sequence if the number of even integers in the sequence is finite. If S is an infinite sequence of positive integers, is S an alpha sequence?

1. The first 10 integers of S are even

2. An infinite number of integers in S are odd.

I'd say E
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Joined: 18 Jul 2008
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07 Sep 2008, 08:48
LOL. I probably hit the panic button 2x on this question.

Funny, it is a simple question. However, I kept thinking this was a trick question, and I was busy worrying about finding another solution, since I thought it was too easy.

icandy wrote:
vksunder wrote:
Well, that makes perfect sense and I did not have trouble deriving the answer. However, i wasnt sure as to what this questions was attempting to test. Any idea?

What is the take away here?

Just confusing with words we dont hear in normal math. For a min I was confused about why the hell an infinite sequence is finite? In fact the stem says that infinite sequence with finite number of integers.

To me the take away is DONT PUSH THE PANIC BUTTON. (Which I do very easily)
Re: DS: equalities   [#permalink] 07 Sep 2008, 08:48
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