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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 The next number in a certain sequence is defined by tagged by: AAPL This topic has 1 expert reply and 0 member replies Top Member The next number in a certain sequence is defined by Timer 00:00 Your Answer A B C D E Global Stats Difficult Manhattan Prep The next number in a certain sequence is defined by multiplying the previous term by some positive constant $$k$$, where $$k \neq 1$$. How many of the first nine terms in this sequence are greater than 1? 1) The ninth term in this sequence is 81. 2) the fifth term in this sequence is 1. OA B GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2349 messages Followed by: 348 members Upvotes: 1090 GMAT Score: 780 If our sequence contains positive values, and if we're multiplying by some positive constant (different from one) to produce each subsequent term, the sequence is either constantly increasing (if the constant is greater than 1) or constantly decreasing. (if the constant is less than 1). Either way, if the 5th term, which is in the middle of our nine terms, is equal to 1, then four terms will be greater than 1 and four will be less than 1 -- either the 1st through 4th terms are greater than 1 if the sequence is decreasing, or the 6th through 9th are if it is increasing. Statement 1 isn't very useful -- if the constant is 1/2, say, then all of the terms can be greater than 1, but if the constant is 1,000,000,000, then only one of the terms is, so the answer is B. _________________ 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 • 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

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