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.

Function Question - Princenton Review

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Thu Dec 11, 2008 8:05 am
by marreroj » Wed Sep 16, 2009 1:02 pm
Can anyone help with the following function question from a Princeton Review CAT test?

The nth term of a sequence a1, a2, a3... is given by the equation an =(an-1)^2 +n. If a3-(a1)^4 = 31, what is a2?

(a) 6
(b) 8
(c) 14
(d) 15
(e) 16

Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Wed Sep 16, 2009 5:05 pm
an=(an-1)^(2)+n

a3-(a1)^(4)=31--->(1)

a3=(a2)^(2)+3--->(2)

a2=(a1)^(2)+2--->(3)

Substitute into 2.

a3=[(a1)^(2)+2]^(2)+3

a3=(a1)^(4)+4(a1)^(2)+7

Substitute into 1.

(a1)^(4)+4(a1)^(2)+7-(a1)^(4)=31

4(a1)^(2)+7=31

(a1)^(2)=6

Substitute into 3 to find a2.

a2=6+2=8

B should be your answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Thu Dec 11, 2008 8:05 am

by marreroj » Wed Sep 16, 2009 5:35 pm
Thanks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1