Give an example where $\{a^2_n\}_{n=1}^\infty$ is a Cauchy sequence, but $\{a_n\}_{n=1}^\infty$is not.
Could somebody give me an example of this? Thanks in advance!
2026-03-27 19:53:31.1774641211
Give an example where $\{a^2_n\}_{n=1}^\infty$ is a Cauchy sequence, but $\{a_n\}_{n=1}^\infty$is not.
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Take for example $$a_n=(-1)^n$$