Mathematical and Physical Journal
for High Schools
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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.


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 solutions.

Problems in Mathematics of KöMaL, October 2006