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Re: In each term of a sequence, 9 is added to get the next term. If the [#permalink]
20 Mar 2013, 21:10

Expert's post

mikemcgarry wrote:

In each term of a sequence, 9 is added to get the next term. If the first term is 2, what is the eighty-first term? (A) 632 (B) 695 (C) 713 (D) 722 (E) 731

Quick tip on this type of question: the GMAT is frequently counting on you (pun intended) to miscount and think the answer is off by one iteration in either direction, so the correct answer tends to not be the biggest or smallest you find. This is far from ironclad, but if you find yourself picking the biggest number (in this case E), you've probably fallen for a classic GMAT trap. The solution outlined by johnwesley above is excellent, but a lot of students find themselves doing 81*9+2 = 731 and falling into the trap.

Re: In each term of a sequence, 9 is added to get the next term. If the [#permalink]
22 Dec 2014, 08:55

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First term = 2 common difference = 9 Nth term = First term + (N-1)(common difference) So, 81th term = 2 + (81-1)(9) = 2 + 80*9 = 2 + 720 = 722 Hence option D.

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