Problem B. 3933. (October 2006)
B. 3933. A sequence an is defined as a1=1, a2n=an, a2n+1+an=1. Determine the value of a2006.
(3 pont)
Deadline expired on November 15, 2006.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. a2006=a1003=1-a501=a250=a125=1-a62=1-a31=a15=1-a7=a3=1-a1=0.
Statistics:
366 students sent a solution. 3 points: 299 students. 2 points: 41 students. 1 point: 2 students. 0 point: 20 students. Unfair, not evaluated: 4 solutionss.
Problems in Mathematics of KöMaL, October 2006