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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 ## After the first two terms in a sequence of numbers, each tagged by: AbeNeedsAnswers ##### This topic has 3 expert replies and 0 member replies ### Top Member ## After the first two terms in a sequence of numbers, each ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? (1) The sum of the first 3 terms in the sequence is 6. (2) The fourth term in the sequence is 6. D Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1946 messages Followed by: 30 members Upvotes: 470 AbeNeedsAnswers wrote: After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? (1) The sum of the first 3 terms in the sequence is 6. (2) The fourth term in the sequence is 6. D Source: Official Guide 2020 Say the first two terms are a and b, respectively. Thus, the first five terms are a, b, (a + b), 2(a + b), 4(a + b). We have to determine whether 4(a + b) = 12 or (a + b) = 3. Let's take each statement one by one. (1) The sum of the first 3 terms in the sequence is 6. => The fourth term = 6 => 2(a + b) = 6 a + b = 3. The answer is yes. Sufficient. (2) The fourth term in the sequence is 6. => 2(a + b) = 6 a + b = 3. The answer is yes. Sufficient. The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Antonio | GRE Prep Courses Boston | Houston IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2418 messages Followed by: 349 members Upvotes: 1090 GMAT Score: 780 If the sum of the first 3 terms is 6, then according to the definition of the sequence, the 4th term is 6. But then the fifth term is just the sum of the first 3 terms plus the 4th term, so is 6+6 = 12. Statement 1 is sufficient. If the 4th term is 6, then by the definition of the sequence, the sum of the first three terms is 6. But then the fifth term is again 6+6 = 12, so Statement 2 is sufficient and the answer is D. _________________ If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10184 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that after the first two terms in a sequence of numbers, each term in the sequence is formed by adding ALL of the preceding terms. We're asked if 12 is the fifth term in the sequence? This is a YES/NO question and can be approached with some basic Arithmetic and note-taking. (1) The sum of the first 3 terms in the sequence is 6. With the information in Fact 1, we don't know exactly what those three terms are (they could be 0, 3, 3 or 1, 2, 3, for example), but that doesn't matter, since we can now determine how the sequence proceeds from there... 4th term = sum of the first 3 terms = 6 5th term = sum of the first 4 terms = 6+6 = 12 Thus, the answer to the question is YES. Fact 1 is SUFFICIENT (2) The fourth term in the sequence is 6. The information in Fact 2 defines the same pattern we deduced in Fact 1: 4th term = sum of the first 3 terms = 6 5th term = sum of the first 4 terms = 6+6 = 12 Fact 2 is SUFFICIENT Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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