高中數學討論區

一個讓人想得很'有收穫'的題目

Problem 3. Suppose that s_1, s_2, s_3, ... is a strictly increasing sequence
of positive integers such that the subsequence s_{s_1}, s_{s_2}, s_{s_3}, ...
and s_{s_1+1}, s_{s_2+1}, s_{s_3+1}, ... are both arithmetic progressions.
Prove that the sequence s_1, s_2, s_3, ... is itself an arithmetic
progression.

sorry不是沒中文,只是翻得很爛
希望有興趣的人自己翻,單字很少

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