AoPS Wiki:Problem of the Day/September 3, 2011

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Revision as of 08:24, 3 September 2011 by Negativebplusorminus (talk | contribs) (Created page with "Solve for <math>a_{17}</math> if <math>a_1 + a_2 + a_3 = 1</math>, <math>a_2 + a_3 + a_4 = 2, \ldots, a_{16} + a_{17} + a_1 = 16</math>, and <math>a_{17} + a_1 + a_2 = 17</math>....")
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Solve for $a_{17}$ if $a_1 + a_2 + a_3 = 1$, $a_2 + a_3 + a_4 = 2, \ldots, a_{16} + a_{17} + a_1 = 16$, and $a_{17} + a_1 + a_2 = 17$.

Source: AIME