• NEW! FREE Beat The GMAT Quizzes  Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## gmat q ##### This topic has 3 member replies 240,120,60,30.... in the sequence above eah term of after the first is 1/2 of the preceding term. whats the least of the sequne that is greater than 1? 32/15 16/15 15/8 15/4 15/2 pleaase expalin Junior | Next Rank: 30 Posts Joined 13 Feb 2007 Posted: 16 messages Upvotes: 1 240,120,60,30, 15, 15/2, 15/4, 15/8 ( cannot have 15/16 as < 1) Hence 15/8 Legendary Member Joined 27 Mar 2007 Posted: 559 messages Followed by: 2 members Upvotes: 5 Answer is 15/8 It's simple 240 120 60 30 15/2 = 7.5 7.5/2 = 15/4 = 3.75 3.75/2 = 15/8 = 1.875 1.875/2 will be less than one. Hence the smallest possible number in this sequence is 15/8 Moderator Joined 30 Aug 2017 Posted: 772 messages Followed by: 6 members 240, 120, 80, 30 ... Let the first term be a a = 240 The sequence is a GP of common ratio r = $$\frac{1}{2}$$ Since, $$_{Tn}$$ = $$_{^{ar^{n-1}}}$$ The fifth term $$_{_{T_5}}$$ = 240 ( $$\left(\frac{1}{2}\right)$$) $$^{5-1}$$ 240 ( $$\frac{1}{16}$$ ) = $$\frac{240}{16}$$ =15 Similarly, $$_{T_6}$$ = 240/ $$_{^{2^5}}$$ = 7.5 $$_{^{_{T_7}}}$$ = 240/ $$_{^{_{^{2^6}}}}$$ =3.75 $$_{^{_{^{_{T_8}}}}}$$ = 240/ $$_{^{_{^{_{^{2^7}}}}}}$$ =1.857 $$_{^{_{^{_{^{_{_{_{T9}}}}}}}}}$$ = 240/ $$_{^{_{^{^{2^8}}}}}$$ = 0.9375 The sequence is ; 240, 120, 60, 30, 15, 7.5, 3.75, 1.857, 0.9395, ... The least term greater than one is 1.857 = $$\frac{15}{8}$$ • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

### Top First Responders*

1 Brent@GMATPrepNow 40 first replies
2 Ian Stewart 40 first replies
3 Scott@TargetTestPrep 39 first replies
4 Jay@ManhattanReview 28 first replies
5 GMATGuruNY 25 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

159 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

58 posts
4 Ian Stewart

GMATiX Teacher

49 posts
5 GMATGuruNY

The Princeton Review Teacher

38 posts
See More Top Beat The GMAT Experts