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a, \overline{bcd}, \overline{aef}, \overline{cfg}, \overline{hci},

Source: Serbia JBMO TST 2012

October 6, 2023
arithmetic sequence

Problem Statement

Let a,bcd‾,aef‾,cfg‾,hci‾,dea‾,ifd‾,jgf‾,bfeg‾,…a, \overline{bcd}, \overline{aef}, \overline{cfg}, \overline{hci}, \overline{dea}, \overline{ifd}, \overline{jgf}, \overline{bfeg},\ldots be an increasing arithmetic progression. Find the 1616th term of this sequence.
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