Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
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.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
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 Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart 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

sequence

Expert replies
by anishprabhu » Sat Mar 14, 2009 10:00 am
The infinite sequence a1, a2,…, an,… is such that a1 = 2, a2 = -3, a3 = 5, a4 = -1, and an = an-4 for n > 4. What is the sum of the first 97 terms of the sequence?



A. 72

B. 74

C. 75

D. 78

E. 80

My votes on B
Join the discussion
Source: — Problem Solving |

Re: sequence

by DanaJ » Sat Mar 14, 2009 10:09 am
anishprabhu wrote:an = an-4 for n > 4
I'm not sure you wrote that down correctly: it doesn't make much sense... Please check.
Join the discussion

by anishprabhu » Sat Mar 14, 2009 10:12 am
asuffix n = a suffix(n-4) for n > 4
Join the discussion

by truplayer256 » Sat Mar 14, 2009 10:15 am
All the answer choices are incorrect.

a5=1
a6=2
a7=3
We want 93 of these terms since we're already given 4 terms before. Since, this is an arithmetic sequence, we can calculate the sum of 1-93 by using sn=n/2(a1+an):

93/2(1+93)=4371<---- now we add this number to 2,-3,5,-1 and we get 4374..
Join the discussion

by anishprabhu » Sat Mar 14, 2009 10:25 am
My solution:
a1 = 2,
a2 = -3,
a3 = 5,
a4 = -1
a5 = 2,
a6 = -3
a7 = 5,
a8 = -1 and so on.
Sequence repeats every 4 terms.

97/4 = 24 with one term remaining which would be the forst term in the sequence. thus a97 = 2.

a1+a2+a3+a4 = 3

thus 24 * 3 = 72
thus first 96 terms sum = 72
Adding the 97th term value = 72 + 2

= 74

B
Join the discussion

by DanaJ » Sat Mar 14, 2009 10:25 am
That basically means that a1 = a5, a2 = a6, a3 = a7, a4 = a8.
This means that if you figure out the first sequence, then the rest will be a breeze.
Notice that a1 + a2 + a3 + a4 = 2 - 3 + 5 - 1 = 3. For every sequence of 4 items, we will get the same result i.e.:
a1 + a2 + a3 + a4 = 3
a5 + a6 + a7 + a8 = 3
a9 + a10 + a11 + a12 = 3
....
a93 + a94 + a95 + a96 = 3
You have 96/4 = 24 sequences of 3, so you get 24*3 = 72 for the first 96 items. a97 will be a1 = 2, so the total will be 72 + 2 = 74.
Join the discussion

by maihuna » Sat Mar 14, 2009 11:46 am
what is the source of this question?
Join the discussion