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What is the sum of the integers in the table above?

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Re: What is the sum of the integers in the table above?  [#permalink]

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New post 13 Mar 2018, 18:13
jlgdr wrote:
Baten80 wrote:
Attachment:
Table.jpg

What is the sum of the integers in the table above?

(A) 28
(B) 112
(C) 336
(D) 448
(E) 784


I think the best way to solve this type of problems is to try to cancel out some of the numbers before operating since you have positives and negatives.
I quickly realized that lines 1,3 and 4 could cancel out. Then by combining lines 5,6 and 7 you get the same numbers in line 6 but with different signs. So you can actually then combine that one with line 2 and just get a series of multiples by 4 starting with 4+8+12....+28.

So 7 terms average 16 = 112

It seems more complicated than it really is. I guess one could find other patterns and even cancel something else out, but you should not overthink it.
At least cancel 2/3 lines and then you can start adding/subtracting to get another evenly spaced set of numbers.

Hope it helps

How come lines 1,3 & 4 be cancel out? Please help..lot of confusion for this

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Re: What is the sum of the integers in the table above? &nbs [#permalink] 13 Mar 2018, 18:13

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What is the sum of the integers in the table above?

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