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Algebra Level 2

28 , 25 , 22 , 28 , 25 , 22 , \ldots

In the above arithmetic progression , the last positive term is A A , and it is the B th B^\text{th} term of the sequence. What is A + B A + B ?


The answer is 11.

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1 solution

Kay Xspre
Feb 17, 2016

We rewrote this progression into f ( x ) = 31 3 x f(x) = 31-3x . The maximum x x such that f ( x ) > 0 f(x) > 0 is x = 10 x = 10 . The question asked for x + f ( x ) = 10 + 1 = 11 x+f(x) = 10+1 = 11

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