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In the sequence above, each term after the first is 4 greate

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In the sequence above, each term after the first is 4 greate [#permalink] New post 11 Mar 2018, 08:51
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Question Stats:

66% (00:44) correct 33% (01:09) wrong based on 6 sessions
-20 , -16 , -12 , -8 ....

In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?

Indicate ALL such numbers.

A) 200
B) 440
C) 668
D) 762
E) 816
F) 902
[Reveal] Spoiler: OA
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Re: In the sequence above, each term after the first is 4 greate [#permalink] New post 12 Mar 2018, 23:08
If you extrapolate this sequence into positive numbers, you see that the sequence continues as follows: -4, 0, 4, 8, etc. You can see that it's just listing multiples of 4. So we can simply check the numbers on the list to see whether they're multiples of 4, or in other words, whether they're divisible by 4.

You can plug each in to the calculator if you have all day, but we don't. Luckily we know a rule for determining whether numbers are divisible by 4: if the last two digits in the number are divisible by 4, then the whole thing is.

A) 200 Obviously yes.
B) 440 Less obvious, but still yes.
C) 668 Is 68 divisible by 4? Well 60 is, and so is 8, so yes.
D) 762 Is 62 divisible by 4? Well 60 is, but 2 isn't so this is a no.
E) 816 16 is of course divisible by 4 so this one's a yes.
F) 902 2 isn't divisible by 4 so this one's a no.

So the answers are D and F.
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Re: In the sequence above, each term after the first is 4 greate   [#permalink] 12 Mar 2018, 23:08
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In the sequence above, each term after the first is 4 greate

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