Problem B. 3933. (October 2006)

B. 3933. A sequence a_n is defined as a₁=1, a_2n=a_n, a_2n+1+a_n=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