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SMO 2026 Open Round 1 Question 8

SMO · SMO 2026 Open Round 1

Question 8

A sequence of numbers $\{x_n\}$ is such that $x_1=1$ and $x_{n+1}=2x_n+1$ for $n=1,2,3,\ldots$. Find the unit digit of the number $2027^{x_{10}+1}$.