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Found problems: 1

V Soros Olympiad 1998 - 99 (Russia), 10.6
Tags: algebra , Sequence , Recurrence , recurrence relations
Find the formula for the general term of the sequence an, for which $a_1 = 1$, $a_2 = 3$, $a_{n+1} = 3a_n-2a_{n-1}$ (you need to express an in terms of $n$).