The Sequence Xn Is Defined As Follows: Xn = 2X(n-1) - 1 - GMAT Club

Trang chủ » Xn 2x » The Sequence Xn Is Defined As Follows: Xn = 2X(n-1) - 1 - GMAT Club

Có thể bạn quan tâm

gmatclub
  • FORUMS
  • GMAT
  • MBA
  • RESOURCES
  • DEALS
  • REVIEWS
  • CHAT 1
  • All Forums Index Start a New Discussion General GMAT Questions Quantitative PS Verbal CR RC Data Insights DS G&T MSR TPA Ask GMAT Experts Share GMAT Experience
  • All Business School Discussions BSchool Application Questions Admitted - Which School to Choose? Profile Evaluations by Experts Student Loans & Financing Master's Programs (MiM, MFin, MSc) PhD in Business
  • GRE Forums General GRE Discussions Tech Support Downloads Blog
  • GMAT Practice Tests Forum Quiz Free Question Banks Diagnostic Mini-Quiz Question of the Day Error Log Study Plan
  • Business School Hub Request Profile Evaluation Decision Tracker Interview Release Schedule Interview Debriefs Ask Admissions Consultants MBA Scholarship - $10K fund
  • GMAT GMAT Score Calculator Study Plan Math Book Flashcards Practice Tests Overview Timing Strategies
  • MBA MBA Rankings 2025 - 2026 Deadlines All Application Fee Waivers Interview Release Dates Average GMAT Focus Scores School Stats Waitlists Scholarships & Negotiation Best MBA for Consulting, Finance, Tech MBA ROI Calculator
  • MBA Programs Tuck (Dartmouth) Yale SOM Kenan-Flagler (UNC) Kelley (IU) Harvard Kellogg (Northwestern) Wharton (Upenn) Booth (Chicago) Sloan (MIT) Stanford Fuqua (Duke) ISB INSEAD
  • Goizueta (Emory) UC Riverside NTU CBS (Columbia) Haas (Berkeley) Ross (Michigan) Anderson (UCLA) Darden (UVA) Stern (NYU) LBS Johnson (Cornell) See All
  • GMAT Marketplace - Compare all GMAT Deals e-GMAT - Save up to $525 Magoosh - Save up to $215 Manhattan Prep - Save up to $225 Target Test Prep - Save up to $579 GMATWhiz - Save up to $725 Experts' Global - Save up to $418 GMAT Tutoring Deals Compare All $500 Prodigy Loan Cashback
  • ADMISSION CONSULTING Accepted.com Admissionado ApplicantLab Ellin Lolis Consulting Gatehouse Admissions mbaMission Square One Prep Stratus Admissions Counseling Admit Expert Amerasia ARINGO MBA Admissions Consulting ARLee Consulting Avanti Prep Embark MBA Experts' Global Fortuna Admissions Compare All
  • Gurufi Leland MBA Admit MBA and Beyond MBA Prep School Menlo Coaching OnCourse Vantage Personal MBA Coach Prep MBA Sia Admissions Stacy Blackman Consulting The Red Pen UniAdvise Vantage Point MBA Vikram Shah Consulting Compare All
  • STUDENT LOANS Prodigy Finance Juno Financing Earnest Financing
  • See All Verified & Authentic Reviews GMAT COURSE REVIEWS e-GMAT Reviews Magoosh Reviews Manhattan Prep Reviews Target Test Prep Reviews Experts' Global Reviews GMATWhiz Reviews GMAT Tutors' Reviews See All Student Loan Reviews
  • Admissions Consulting Reviews Accepted.com Reviews Admissionado Reviews ApplicantLab Reviews Ellin Lolis Consulting Reviews Gatehouse Reviews mbaMission Reviews Square One Prep Reviews Stratus Admissions Reviews Admit Expert Reviews Amerasia Reviews ARINGO MBA Admissions Consulting Reviews ARLee Consulting Reviews
  • Avanti Prep Reviews Embark MBA Reviews Experts' Global Reviews Fortuna Admissions Reviews Gurufi Reviews Leland Reviews MBA Admit Reviews MBA and Beyond Reviews MBA Prep School Reviews Menlo Coaching Reviews OnCourse Vantage Reviews Personal MBA Coach Reviews
  • Prep MBA Reviews The Red Pen Reviews Sia Admissions Reviews Stacy Blackman Consulting Reviews UniAdvise Reviews Vantage Point MBA Reviews Vikram Shah Consulting Reviews See All
  • Business School Reviews HBS Reviews Wharton Reviews Stanford GSB Reviews Kellogg Reviews Booth Reviews Sloan Reviews ISB Reviews INSEAD Reviews Columbia Reviews Yale Reviews LBS Reviews Fuqua Reviews Ross Reviews Anderson Reviews See All
  • MAIN CHATROOM 1
  • - General GMAT Chat
  • - GMAT Questions Chat
  • - Manage WhatsApp Connection
  • - MBA Applicant WhatsApp Group
  • - GMAT Prep WhatsApp Group
  • - More GMAT & MBA Chatrooms
Sign In Join now Forum Home GMAT Quantitative Questions Problem Solving (PS)

GMAT Problem Solving (PS) Questions

It is currently 22 Dec 2025, 05:40
Toolkit Forum Quiz Practice Tests Questions Bank Decision Tracker Error Log My Posts Hot Topics Chat Home GMAT Messages Tests Schools Events Rewards Chat My Profile Ask Question GMAT Forums MBA Forums Executive MBA Masters Programs GRE Support Home Make Post General Questions Quantitative Verbal Data Insights Ask GMAT Experts GMAT Experience Start Test GMAT Focus Tests Free Test Forum Quiz 3.0 EA Tests GRE Tests Error Log Update Status Decision Tracker Anderson Booth Carlson Columbia Cox (SMU) Darden Foster Fuqua Goizueta Haas Harvard HEC Paris IESE IIM Ahmedabad IIM Bangalore IIM Calcutta INSEAD ISB Johnson (Cornell) Jones Rice Judge Cambridge Kelley Kellogg Kenan-Flagler LBS Marshall (USC) McCombs McDonough Mendoza Merage NUS Singapore Olin St. Louis Owen Vanderbilt Ross (Michigan) Rotman Said Scheller Schulich Simon Sloan MIT Stanford GSB Stern Tepper Terry Georgia Tuck UCR Business W.P. Carey Wharton Yale Join Prize Fund ($30,000) Rules My points Questions Latest Video Latest Post Latest Post Latest Tweet Latest Post Latest Post Latest Post Latest Post Tier Status Points Redeem Activity Top Members How to Use? New Chat Main Chatroom General GMAT Chat Practice Questions Chat Study Buddy Chat WhatsApp for GMAT WhatsApp for MBA Applications Edit My Bookmarks My Posts Follow Feed My GMAT Score My Schools Notifications Settings Log-In Send PM Inbox: Sent Drafts Close GMAT Club Daily Prep Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customizedfor You

we will pick new questions that match your level based on your Timer History

TrackYour Progress

every week, we’ll send you an estimated GMAT score based on your performance

PracticePays

we will pick new questions that match your level based on your Timer History Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. Go to My Error Log Learn more JOIN GMAT CLUB Become part of our 1M+ member community! × GMAT Registration Benefits:
  • Vast Question Bank:

    Practice thousands of GMAT questions with top expert solutions.

  • Error Tracking:

    Identify and improve upon mistakes efficiently using our Error Log.

  • Expert Support:

    Get the latest tips and news from our top GMAT professionals.

  • Sing up now

    - it’s free and easy!

  • Join now
  • Sign In
? GMAT Club Timer Informer Hi GMATClubber!

Thank you for using the timer! We noticed you are actually not timing your practice. Click the START button first next time you use the timer. There are many benefits to timing your practice, including:

  • We’ll give you an estimate of your score

    learn more

  • We’ll provide personalized question recommendations

    learn more

  • Your score will improve and your results will be more realistic

    learn more
Is there something wrong with our timer? Let us know! Thanks! I'll try it now Add Mistakes & Note Calculation Error Careless Mistake Anxiety Conceptual Gap Time Mismanagement Vocabulary Void Add Note Cancel Add Close Request Expert Reply Please wait... Confirm Cancel Events & Promotions Dec 15

12 Days of Christmas GMAT Competition

Dec 23

MBA Leadership Essays Explained: How Schools Define Real Leadership

Dec 24

MBA Waitlist Explained: Why Waiting Hurts (and What to Do Instead)

Dec 26

World's biggest and highest-rated GMAT test-series!

Dec 27

Free Webinar – Achieve 90th %ile score on GMAT CR and TPA

Dec 28

Ace Arithmetic on the GMAT Focus Edition
  • Dec 23MBA Leadership Essays Explained: How Schools Define Real Leadership

    10:00 AM PST

    -

    11:00 AM PST

    Most MBA applicants think leadership essays are about titles, promotions, or managing large teams. That’s exactly why so many leadership essays fall flat. In this video, we break down how business schools actually define leadership — and more.
  • Dec 26World's biggest and highest-rated GMAT test-series!

    08:00 PM PST

    -

    09:00 PM PST

    15 Full-length GMAT FE mocks with insightful analytics, weakness diagnosis, and video explanations!
  • Dec 28Ace Arithmetic on the GMAT Focus Edition

    11:00 AM IST

    -

    01:00 PM IST

    Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions.
Back to Forum Create Topic Reply The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 User avatar Bunuel User avatar Bunuel Math Expert Joined: 02 Sep 2009 Last visit: 22 Dec 2025 Posts: 106,363 Products: GMAT Club Tests Forum Quiz Expert Expert reply Active GMAT Club Expert! Tag them with @ followed by their username for a faster response. Posts: 106,363 The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 Post URL 27 Oct 2021, 04:45 Show timer 00:00 Start Timer Pause Timer Resume Timer Show Answer a2% b5% c18% d70% e5% A B C D E Hide Show History My Mistake Official Answer and Stats are available only to registered users. Register/Login. Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

70% (02:39) correct 30% (02:53) wrong based on 401 sessions

History

Date Time Result Not Attempted Yet The sequence \(X_{n}\) is defined as follows: \(X_{n} = 2X_{(n-1)}-1\) whenever n is an integer greater than 1. If \(X_1=3\), what is the value of \(X_{20} - X_{19}\)?(A) \(2^{16}\)(B) \(2^{17}\)(C) \(2^{18}\)(D) \(2^{19}\)(E) \(2^{20}\) ShowHide Answer Official Answer Official Answer and Stats are available only to registered users. Register/Login. _________________ - Win $39K in Prizes: Admissions Consulting Packages, Courses, Tests, and more in 12 Days of Christmas CompetitionNew to the GMAT Club?
    • Questions: Question Bank | Bunuel's Signature Collection• Tests: GMAT Club Tests | Forum Quiz• Guides: Quantitative | Verbal | Ultimate Quantitative Collection | All You Need for Quant• Rules: Quantitative | Verbal
Signature Read More Kudos Add Kudos 18 Bookmarks Bookmark this Post User avatar sanjitscorps18 User avatar sanjitscorps18 Joined: 26 Jan 2019 Last visit: 22 Dec 2025 Posts: 683 Location: India Schools: IMD'26 Products: My Reviews GMAT Club Tests Schools: IMD'26 Posts: 683 The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 Post URL 27 Oct 2021, 05:03 Xn=2X(n−1)−1 whenever n is an integer greater than 1. X1=3, Value of X20−X19 = 2X19 - 1 -X19 = X19 - 1If we build the series (X1, X2, X3, X4 .....) we get 3, 5, 9, 17 ......This is essentially 2^1 + 1 , 2^2 + 1 , 2^3 + 1 , 2^4 + 1 ......Hence X19 = 2^19 + 1=> X20−X19 = X19 - 1 = 2^19 + 1 - 1 = 2^19IMO Option D 1 Kudos Add Kudos Bookmarks Bookmark this Post User avatar rayjaycleoful User avatar rayjaycleoful Joined: 15 May 2021 Last visit: 22 Dec 2025 Posts: 33 Posts: 33 The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 Post URL 16 Nov 2023, 21:07 BunuelThe sequence \(X_{n}\) is defined as follows: \(X_{n} = 2X_{(n-1)}-1\) whenever n is an integer greater than 1. If \(X_1=3\), what is the value of \(X_{20} - X_{19}\)?(A) \(2^{16}\)(B) \(2^{17}\)(C) \(2^{18}\)(D) \(2^{19}\)(E) \(2^{20}\)Show more Could someone explain how we get 5,9, 17... when we expand X2,X3,X4....? Kudos Add Kudos Bookmarks Bookmark this Post User avatar Bunuel User avatar Bunuel Math Expert Joined: 02 Sep 2009 Last visit: 22 Dec 2025 Posts: 106,363 Products: GMAT Club Tests Forum Quiz Expert Expert reply Active GMAT Club Expert! Tag them with @ followed by their username for a faster response. Posts: 106,363 The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 Post URL 16 Nov 2023, 23:02 rayjaycleofulBunuelThe sequence \(X_{n}\) is defined as follows: \(X_{n} = 2X_{(n-1)}-1\) whenever n is an integer greater than 1. If \(X_1=3\), what is the value of \(X_{20} - X_{19}\)?(A) \(2^{16}\)(B) \(2^{17}\)(C) \(2^{18}\)(D) \(2^{19}\)(E) \(2^{20}\)Could someone explain how we get 5,9, 17... when we expand X2,X3,X4....?Show more The formula \(X_{n} = 2X_{(n-1)} - 1\) is used to determine the \(n^{th}\) term of the sequence \(X_n\), given the preceding \(n-1^{th}\) term, \(X_{n-1}\).Starting with \(X_1 = 3\), the subsequent term, \(X_2\), is calculated as follows:\(X_{2} = 2X_{1} - 1 = 2 * 3 - 1 = 5\).Similarly:\(X_{3} = 2X_{2} - 1 = 2 *5 - 1 = 9\).And so on.Check the links below for more:

12. Sequences

  • TheorySequences Made Easy - All in One Topic!Math : Sequences & ProgressionsTime to Tackle Geometric Progressions!
    • QuestionsSpecial Numbers and Sequences ProblemsDS QuestionsPS Questions
For other subjects:ALL YOU NEED FOR QUANT ! ! !Ultimate GMAT Quantitative MegathreadHope it helps. _________________ - Win $39K in Prizes: Admissions Consulting Packages, Courses, Tests, and more in 12 Days of Christmas CompetitionNew to the GMAT Club?
    • Questions: Question Bank | Bunuel's Signature Collection• Tests: GMAT Club Tests | Forum Quiz• Guides: Quantitative | Verbal | Ultimate Quantitative Collection | All You Need for Quant• Rules: Quantitative | Verbal
Signature Read More 1 Kudos Add Kudos Bookmarks Bookmark this Post User avatar shuvamp User avatar shuvamp Joined: 28 Nov 2016 Last visit: 06 Jan 2025 Posts: 8 Location: India Concentration: Operations, Marketing Schools: S.P.Jain Institute GMAT 1: 700 Q50 V37 GPA: 3.14 WE:Engineering (Energy) Schools: S.P.Jain Institute GMAT 1: 700 Q50 V37 Posts: 8 The sequence Xn is defined as follows: Xn = 2X(n-1) - 1 Post URL 05 Jan 2024, 23:33 Xn=2X(n−1)−1...... equation 1X1=3Solving equation 1 for n=2,3,4,5..... we get, X2=2X1-1=2x3-1=5X3=9X4=17X5=33we observe that, difference between consecutive numbers in the sequence is in 2^nX2-X1=5-3=2X3-X2=9-5=4=2^2X4-X3=17-9=8=2^3X5-X4=33-17=16=2^4HENCE, X20-X19=2^19, OPTION D Kudos Add Kudos Bookmarks Bookmark this Post NEW TOPIC POST REPLY Question banks Downloads My Bookmarks Important topics Reviews Moderators: Bunuel Math Expert 106363 posts Krunaal Tuck School Moderator 810 posts Competiton Image Join the GMAT Competition with $30K Prize Fund Join Learn more

Prep Toolkit

Announcements Admitted? Get the NEXT STEPS [url=https://admit-weekend.heysummit.com/][fimg=300,600]https://gmatclub.com/blog/wp-content/uploads/2025/12/admit-weekend-dec20.webp[/fimg][/url] CLOSE SAVE Why Waiting Quietly Hurts your Chances (And What to Do Instead) Subscribe to MBA Club for New Videos on Essays, School-specific Strategies, & Insights Every Applicant Needs [align=center][url=https://www.youtube.com/watch?v=guWKH605rUw][fimg=300,169]https://gmatclub.com/blog/wp-content/uploads/2025/12/DC19-MBCLWLV1.webp[/fimg][/url] [size=115][url=https://www.youtube.com/@mba_club?sub_confirmation=1][b]Subscribe to MBA Club for New Videos on Essays, School-specific Strategies, & Insights Every Applicant Needs[/b][/url][/size][/align] CLOSE SAVE Join the Most Rewarding GMAT Competition [url=https://gmatclub.com/forum/12-days-of-christmas-competition-2025-30-000-in-prizes-451967.html][fimg=300,600]https://gmatclub.com/blog/wp-content/uploads/2025/11/christmas-2025-vertical.webp[/fimg][/url] CLOSE SAVE $10,000 MBA Scholarship The GMAT Club MBA Scholarship, sponsored by Juno, gives aspiring business school students the chance to win $2,500. [url=https://gmatclub.com/forum/gmat-club-mba-scholarship-2025-2026-10-000-new-451640.html][align=center][size=120]The GMAT Club MBA Scholarship, sponsored by Juno, gives aspiring business school students the chance to win $2,500. [/size][/align][/url] [url=https://gmatclub.com/forum/gmat-club-mba-scholarship-2025-2026-10-000-new-451640.html][img]https://gmatclub.com/blog/wp-content/uploads/2025/12/scholarship-e1765247593783.webp[/img][/url] CLOSE SAVE Patterns among those who have scored 685+ This compilation of exemplary GMAT Focus Edition debriefs provides critical insights into the strategies and practices used by top scorers. [url=https://gmatclub.com/forum/patterns-among-those-who-have-scored-452134.html][align=center][size=120]This compilation of exemplary GMAT Focus Edition debriefs provides critical insights into the strategies and practices used by top scorers.[/size][/align][/url] [url=https://gmatclub.com/forum/patterns-among-those-who-have-scored-452134.html][img]https://gmatclub.com/forum/download/file.php?id=86997[/img][/url] CLOSE SAVE Top GMAT Focus Debriefs

615 to 715 in 15 Days (Ria's Strategies)

715 18K views

More than Quant/Verbal Abilities: Speed vs. Accuracy

725 16K views

745 with Only Self-Prep and GMAT Club

745 9.8K views

From 555 to 765: 210-point Improvement

765 8.7K views

Perfect 805 Score Debrief by Julia

805 8.2K views [top-youtube][/top-youtube] CLOSE SAVE AGSM at UNIVERSITY OF CALIFORNIA RIVERSIDE [url=https://businessgmatclub.ucr.edu/?utm_source=gmatclub&utm_medium=digital%20ad&utm_campaign=sb-f26-fy-aware-051325][img]https://gmatclub.com/blog/wp-content/uploads/2025/10/GMAT-Club-Ad-300x250-Right-SideBar.png[/img][/url] CLOSE SAVE An Emory MBA Powers Growth Emory powers growth—professionally and personally. Built on a foundation of interdisciplinary learning, leadership development, and career readiness, our top-20 MBA program delivers a high return on investment with top-5 career outcomes. [url=https://goizueta.emory.edu/rfi/mba/ft/compare?sys:field:utm_source=5b6ef6e5-5114-4a8b-9a8c-9525db6434a4&sys:field:utm_program=45db6bc7-2aa4-4079-879f-defe06dcc538&sys:field:utm_topic=a2ffa881-71d8-419b-b23f-4aa0f5d946f6&sys:field:prospect_lead_tactics=c20ca5d0-0f25-4201-8e54-a2d890c65395&utm_source=GMATclub&utm_content=General&utm_medium=profile]Emory powers growth—professionally and personally. Built on a foundation of interdisciplinary learning, leadership development, and career readiness, our top-20 MBA program delivers a high return on investment with top-5 career outcomes.[/url] CLOSE SAVE Tuck at Dartmouth Step Inside the Tuck Experience: Discover Tuck Events This FallCurrent Tuck MBA students and Discover Tuck co-chairs share advice for prospective students and reflect on why they chose Tuck for their MBA.Read More [url=https://tuck.dartmouth.edu/mba/blog/step-inside-the-tuck-experience-discover-tuck-events-this-fall?utm_source=adm&utm_medium=partner&utm_campaign=adm_partner_sidebar&utm_content=gmc][size=125][b]Step Inside the Tuck Experience: Discover Tuck Events This Fall[/b][/size] Current Tuck MBA students and Discover Tuck co-chairs share advice for prospective students and reflect on why they chose Tuck for their MBA.[/url] [url=https://tuck.dartmouth.edu/mba/blog/step-inside-the-tuck-experience-discover-tuck-events-this-fall?utm_source=adm&utm_medium=partner&utm_campaign=adm_partner_sidebar&utm_content=gmc][b][u]Read More[/u][/b][/url] CLOSE SAVE Latest Posts More Latest Posts Q83 with Two Questions Wrong - How? by: AjiteshArun 15 mins 705 Score with TTP's Self Study Plan by: sd03 16 mins Doctors in Britain have long suspected that patients who wear tinted by: VerbalBot 22 mins Doctors in Britain have long suspected that patients who wear tinted by: VerbalBot 25 mins ­Accountant: We need the new sewing machines for the jacket contract by: Goldenfuture 26 mins

Từ khóa » Xn 2x