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Senior Manager Joined: 20 May 2014
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The sum of seven consecutive integers is equal to 7. What is [#permalink] 00:00

Question Stats: 41% (00:10) correct 58% (01:09) wrong based on 12 sessions
The sum of seven consecutive integers is equal to 7. What is the average of the greatest and least terms in the series?

(A) 7

(B) 4

(C) 2

(D) 1

(E) -2

Kudos for correct solution.
[Reveal] Spoiler: OA Director Joined: 03 Sep 2017
Posts: 520
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Kudos [?]: 356  , given: 66

Re: The sum of seven consecutive integers is equal to 7. What is [#permalink]
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In order to sum to 7, the seven consecutive integers must be positive and negative. Thus, if we consider the fact that numbers specular around the zero sum to zero, it is easy to notice that the seven integers are -2 -1 0 1 2 3 4, so that -2+2 = 0, -1+1 = 0, 0 = 0 and 3+4 = 7.

The mean of the highest and lowest numbers is $$\frac{-2+4}{2} = 1$$.

Target Test Prep Representative Affiliations: Target Test Prep
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Re: The sum of seven consecutive integers is equal to 7. What is [#permalink]
Expert's post
Bunuel wrote:
The sum of seven consecutive integers is equal to 7. What is the average of the greatest and least terms in the series?

(A) 7

(B) 4

(C) 2

(D) 1

(E) -2

Since 7 consecutive integers sum to 7, we can let x = the first integer and create the following equation:

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7

7x + 21 = 7

7x = -14

x = -2

Thus, the first integer is -2 and the seventh integer is 4. The average of those integers is (-2 + 4)/2 = 1.

_________________

Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Re: The sum of seven consecutive integers is equal to 7. What is   [#permalink] 09 Jan 2018, 10:39
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