Difference between revisions of "2009 IMO Problems/Problem 3"

Revision as of 23:15, 11 March 2023

Suppose that $s_1,s_2,s_3,\ldots$ is a strictly increasing sequence of positive integers such that the subsequences

$s_{s_1},s_{s_2},s_{s_3},\ldots$ and $s_{s_1+1},s_{s_2+1},s_{s_3+1},\ldots$

are both arithmetic progressions. Prove that the sequence $s_1,s_2,s_3,\ldots$ is itself an arithmetic progression.

Author: Gabriel Carroll, USA

Revision as of 13:03, 10 July 2012 (view source) JBL (talk \| contribs) m ← Older edit		Revision as of 23:15, 11 March 2023 (view source) Mathhyhyhy (talk \| contribs) (→‎Problem) Newer edit →
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	''Author: Gabriel Carroll, USA''		''Author: Gabriel Carroll, USA''
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		+	== Solution ==