Mathematical and Physical Journal
for High Schools
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Problem A. 441. (December 2007)

A. 441. For an arbitrary sequence of numbers A=(a_0,a_1,a_2,\ldots), let SA=(a_0,a_0+a_1, a_0+a_1+a_2,\ldots) be the sequence of partial sums of the series a_0+a_1+a_2+\ldots. Is there any sequence A, not constant zero, for which the sequences A, SA, SSA, SSSA,... are all convergent?

Miklós Schweitzer Competition, 2007

(5 pont)

Deadline expired on January 15, 2008.

Statistics:

4 students sent a solution.
5 points:Korándi Dániel, Lovász László Miklós, Nagy 235 János, Tomon István.

Problems in Mathematics of KöMaL, December 2007