BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Sum of integers in table

Expert replies
Source: — Problem Solving |

Re: Sum of integers in table

by Morgoth » Sun Aug 16, 2009 3:27 am
There are many ways of solving this question, I'll show you 1

if you look at the rows closely, every row is a table of a number starting from 1 to 7


1+2+3+4+5+6+7 = 28

28 + -2(28) + 3(28) -4(28) + 5 (28) -6(28) + 7(28)

= 28 ( 1-2+3-4+5-6+7) = 4*28 = 112

Hope this helps.
Join the discussion

by cmr209 » Sun Aug 16, 2009 10:39 am
Yes! This does help, thank you!
I had never seen a problem like this.
Join the discussion

by nafiul9090 » Wed May 18, 2011 2:28 am
what if last two rows are omitted?? is there any uniform method or formula....
Join the discussion

by Anurag@Gurome » Wed May 18, 2011 7:17 pm
nafiul9090 wrote:what if last two rows are omitted?? is there any uniform method or formula....
Solution:
Let us say that the first row is 1,2,3,4,5,6...n.
So the sum of all the above numbers is {n*(n+1)/2}.
Now, the sum of numbers in second row is -2*n(n+1)/2, in the third row is +3*n(n+1)/2...and so on.
If this extends till k where k is even, then the sum of last row is -k*n(n+1)/2.
If k is odd, then the sum of last row is +k*n(n+1)/2.
Hence the sum of all integers where k is even is {n*(n+1)/2}*{1-2+3-4...-k) = {n*(n+1)/2}*{-k/2}
= -k*n*(n+1)/4.
Also, the sum of all the integers where k is odd is {n*(n+1)/2}*{-(k-1)/2+k} = {n*(n+1)/2}*{(k+1)/2}.
If the last 2 rows are removed, then n= 7, k = 5 and is odd. So, the sum is {7*(7+1)/2}*{(5+1)/2} = 28*3 = 84
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Join the discussion

by GMATGuruNY » Thu May 19, 2011 3:21 am
cmr209 wrote:I've never encountered a question like this before.


Image

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

A 28

B 112

C 336

D 448

E 784

Please help.
Look for a pattern.
The table shows the results of multiplying every integer in the top row by every integer in the leftmost column.

Thus, we need to determine the sum of all these products:
(Top row)*(Leftmost column) = (1+2+3+4+5+6+7)(1-2+3-4+5-6+7) = 28*4 = 112.

The correct answer is B.
nafiul9090 wrote:what if last two rows are omitted?? is there any uniform method or formula....
Use the same reasoning as above, omitting the bottom 2 rows:
(Top row)*(Leftmost column) = (1+2+3+4+5+6+7)(1-2+3-4+5) = 28*3 = 84.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Join the discussion