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If n is the sum of the integers from -203 to 200, inclusive, then n =

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If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 11 Mar 2017, 16:00
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If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0
[Reveal] Spoiler: OA

Last edited by Calichin on 11 Mar 2017, 19:38, edited 1 time in total.

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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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X514 wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0


Notice that each positive term can be matched with a negative term to create a sum of ZERO.
For example, (-200) + 200 = 0, and (-199) + 199 = 0

We have: (-203) + (-202) + (-201) + (-200) + (-199) + (-198) + ...... + 198 + 199 + 200 = (-203) + (-202) + (-201) + 0 + 0 ..... + 0
= -606

Answer: A

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Brent
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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 11 Mar 2017, 19:34
X514 wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0



X514

Please provide OA!!!!!!!!!

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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 13 Mar 2017, 11:25
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Hi X514,

GMAT questions are rarely about doing 'lots of math', so it often helps to look for patterns in the way the prompt is designed (and avoid doing lots of math if possible).

Here, we're asked for the sum of a LOT of integers - and if we tried to add them all up 'in order', then that would take a really long time (and we might end up making mistakes). Given the range of integers (-203 to 200, inclusive), we should look for a pattern...

-1 + 1 = 0
-2 + 2 = 0
-3 + 3 = 0
Etc.

Notice all of the 0s that we'd end up with... and the numbers that would be 'left over'... -203, -202 and -201. The sum isn't that difficult to total now.

Final Answer:
[Reveal] Spoiler:
A


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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 14 Mar 2017, 13:38
This is another way to solve the problem
200 - (-203) = 403 + 1 = 404

n/2(a+l)
404/2(200 - 203)
-606

Therefore, answer is A

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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 02 Sep 2017, 08:08
Calichin wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0


Of the numbers from -203 to 200, the sum of numbers from -200 to 200 would be zero owing to the -ve additions.

So the sum is -203+-202+-201 = -606

Ans:A

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Re: If n is the sum of the integers from -203 to 200, inclusive, then n = [#permalink]

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New post 02 Sep 2017, 23:21
This is a straight problem
Numbers from 1 to 200 will cancel out number from -1 to -200
So we just have to add -201-202-203=-606
Hence A is the answer
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Re: If n is the sum of the integers from -203 to 200, inclusive, then n =   [#permalink] 02 Sep 2017, 23:21
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