• 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 ## In a certain sequence, the first term is 1, and each... tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## In a certain sequence, the first term is 1, and each... In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence? (A) 3/5 (B) 5/8 (C) 8/5 (D) 5/3 (E) 9/2 The OA is C. Is there a strategic approach to this question? Can any experts help, please? Thanks! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence? (A) 3/5 (B) 5/8 (C) 8/5 (D) 5/3 (E) 9/2 The OA is C. Is there a strategic approach to this question? Can any experts help, please? Thanks! Hi AAPL, Let's take a look at your question. $$First\ term\ =\ 1$$ Each successive term is 1 more than the reciprocal of the term that immediately precedes it, therefore, we can find the next term as: Reciprocal of 1 is 1. $$Second\ term=\ 1+\frac{1}{1}=1+1=2$$ Reciprocal of 2 is 1/2. $$Third\ term=\ 1+\frac{1}{2}=\frac{2+1}{2}=\frac{3}{2}$$ Reciprocal of 3/2 is 2/3. $$Fourth\ term=\ 1+\frac{2}{3}=\frac{3+2}{3}=\frac{5}{3}$$ Reciprocal of 5/3 is 3/5. $$Fifth\ term=\ 1+\frac{3}{5}=\frac{5+3}{5}=\frac{8}{5}$$ Therefore, option C is correct. Hope it helps. I am available if you'd any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 AAPL wrote: In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence? (A) 3/5 (B) 5/8 (C) 8/5 (D) 5/3 (E) 9/2 First term: 1 Second term: 1 + 1/1 = 2 Third term: 1 + 1/2 = 3/2 Fourth term: 1 + 1/(3/2) = 1 + 2/3 = 5/3 Fifth term: 1 + 1/(5/3) = 1 + 3/5 = 8/5 Answer: C _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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

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

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Get 300+ Practice Questions
25 Video lessons and 6 Webinars for FREE

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

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 41 first replies
2 Brent@GMATPrepNow 36 first replies
3 Scott@TargetTestPrep 33 first replies
4 Jay@ManhattanReview 30 first replies
5 GMATGuruNY 23 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

91 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

56 posts
4 Ian Stewart

GMATiX Teacher

50 posts
5 GMATGuruNY

The Princeton Review Teacher

35 posts
See More Top Beat The GMAT Experts