This sequence appears Cauchy. But how to rigorously approach this problem.
2026-03-28 06:31:00.1774679460
$\{{x_n}\}_{n \geq 1}$ be a sequence such that $|x_{n+1} - x_n| \leq \frac{1}{2} |x_n - x_{n-1}|.$ Prove ${x_n}$ is convergent
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