Problem A. 441. (December 2007)
A. 441. For an arbitrary sequence of numbers , let be the sequence of partial sums of the series . Is there any sequence A, not constant zero, for which the sequences A, SA, SSA, SSSA,... are all convergent?
Miklós Schweitzer Competition, 2007
Deadline expired on January 15, 2008.
4 students sent a solution. 5 points: Korándi Dániel, Lovász László Miklós, Nagy 235 János, Tomon István.