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In the sequence above, each term after the first is 4 greate
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11 Mar 2018, 08:51
11 Mar 2018, 08:51
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-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
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
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Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: In the sequence above, each term after the first is 4 greate
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12 Mar 2018, 23:08
12 Mar 2018, 23:08
Expert Reply
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.
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.
Re: In the sequence above, each term after the first is 4 greate
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23 Jan 2024, 21:15
23 Jan 2024, 21:15
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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