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
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
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.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

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

Mitchell plans to work at a day camp over the summer. Each week, he will be paid according to the following schedule: at

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members
by Gmat_mission » Sun Jun 14, 2020 2:44 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Mitchell plans to work at a day camp over the summer. Each week, he will be paid according to the following schedule: at the end of the first week, he will receive $1. At the end of each subsequent week, he will receive $1, plus an additional amount equal to the sum of all payments he’s received in previous weeks. How much money will Mitchell be paid in total during the summer, if he works for the entire duration of the 8-week-long camp?

A. 126
B. 127
C. 252
D. 254
E. 255

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8176
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: Mitchell plans to work at a day camp over the summer. Each week, he will be paid according to the following schedule

by Scott@TargetTestPrep » Sat Jun 20, 2020 2:04 pm
Gmat_mission wrote: ↑
Sun Jun 14, 2020 2:44 pm
 Mitchell plans to work at a day camp over the summer. Each week, he will be paid according to the following schedule: at the end of the first week, he will receive $1. At the end of each subsequent week, he will receive $1, plus an additional amount equal to the sum of all payments he’s received in previous weeks. How much money will Mitchell be paid in total during the summer, if he works for the entire duration of the 8-week-long camp?

A. 126
B. 127
C. 252
D. 254
E. 255

[spoiler]OA=E[/spoiler]

Solution:

We can tabulate the amount Mitchell earns each week.

Week 1: $1

Week 1: 1 + 1 = $2

Week 3: 1 + (1 + 2) = $4

Week 4: 1 + (1 + 2 + 4) = $8

At this point, we see that the amount he earns in certain week is double the amount he earns the previous week. Therefore,

Week 5: $16 Week 6: $32 Week 7: $64 Week 8: $128

So the total he earns at the end of the 8-week-long camp is:

1 + 2 + 4 + … + 128 = 2^8 - 1 = $255

(Note: We are using the formula 1 + 2 + 4 + … 2^n = 2^(n + 1) - 1 and notice that 128 = 2^7.)

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1