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express sequence x_n as a function of n

Source: Romania IMO TST 1993 3.1

February 17, 2020
Sequencealgebra

Problem Statement

Define the sequence (xnx_n) as follows: the first term is 11, the next two are 2,42,4, the next three are 5,7,95,7,9, the next four are 10,12,14,1610,12,14,16, and so on. Express xnx_n as a function of nn.
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