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.


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

Problems in Mathematics of KöMaL, December 2007