An infinite sequence of positive integers is called an alpha

Question

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.

1. The first 10 integers of S are even

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

ssandeepan · Answer

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

vksunder · Answer

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?

IgnitedMind · Answer

E...

Both statements are clearly insufficient

icandy · Answer

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)

GMBA85 · Answer

I'd say E

bigfernhead · Answer

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.

An infinite sequence of positive integers is called an alpha

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