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
GMATBootcamp Starts Sep 21
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE BOOTCAMP

Live Online Bootcamp Class with Top GMAT Expert Chris Peckover

Sep 21 to Oct 9, 2026

Schedule
Mon to Fri · 7:00 to 10:00 PM ET
Included
Live classes + 6 months of TTP OnDemand
  • Boost your GMAT score in less than one month in a live online class
  • 6 months access to TTP OnDemand video courses included
View bootcamp & 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
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.

Exponents

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members
Location: California
Thanked: 13 times
by heshamelaziry » Sat Nov 14, 2009 10:29 pm
3 + 3 + 3 + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =

[spoiler]OA 3^8. I understand the first 3 terms will be 3^2. but can't go afterward ?[/spoiler]
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: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

Re: Exponents

by Brent@GMATPrepNow » Sun Nov 15, 2009 8:11 am
heshamelaziry wrote:3 + 3 + 3 + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =

[spoiler]OA 3^8. I understand the first 3 terms will be 3^2. but can't go afterward ?[/spoiler]
(3 + 3 + 3) + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^2 + 2 * 3^2) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3*3^2) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^3) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
3*3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^4 + 2 * 3^4) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3*3^4) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^5) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
3^6 + 2 * 3^6 + 2 * 3^7 =
etc
3^8
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members
Location: California
Thanked: 13 times

Re: Exponents

by heshamelaziry » Sun Nov 15, 2009 12:19 pm
Brent Hanneson wrote:
heshamelaziry wrote:3 + 3 + 3 + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =

[spoiler]OA 3^8. I understand the first 3 terms will be 3^2. but can't go afterward ?[/spoiler]
(3 + 3 + 3) + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^2 + 2 * 3^2) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3*3^2) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^3) + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
3*3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^4 + 2 * 3^4) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3*3^4) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
(3^5) + 2 * 3^5 + 2 * 3^6 + 2 * 3^7 =
3^6 + 2 * 3^6 + 2 * 3^7 =
etc
3^8

How did (3^2 + 2 * 3^2) become
(3*3^2) ?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Sun Nov 15, 2009 1:39 pm
How did (3^2 + 2 * 3^2) become
(3*3^2) ?
Factor out a 3^2 to get:

3^2(1+2)=3(3^2) or 3^3.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 98
Joined: Mon Nov 23, 2009 2:30 pmFollowed by: 1 member
Thanked: 26 times

by ace_gre » Thu Dec 03, 2009 12:49 pm
Another approach to this problem. Treat the text in blue as GP..

3 + 3 + 3 + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7
Simplify the blue portion,
2*3^1 + 2 * 3^2 + 2 * 3^3 + 2 * 3^4 + 2 * 3^5 + 2 * 3^6 + 2 * 3^7.

Term t1=2*3^1=2*3
Common ratio(r)= t2/t1=2 * 3^2/2*3^1=3
Sum S= t1((r^n) - 1)/(r-1)
S=(2*3) * ((3^7)-1)/(3-1)
S=3*((3^7)-1)


Total series sum = 3+S=3+3*((3^7)-1) = 3(1+(3^7)-1)=3*3^7=3^8.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 869
Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members
Location: California
Thanked: 13 times

by heshamelaziry » Thu Dec 03, 2009 12:56 pm
exactly what i tried to do, but failed to figure out.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1