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Posted: **Thu May 12, 2022 12:20 pm**

: 20 Points Let R E R Be A Fixed Real Number Such That Iri 1 And In Be A Bounded Sequence Of Real Numbers Consider 1 (17.79 KiB) Viewed 35 times

(20 points) Let r e R be a fixed real number such that Iri < 1 and (In) be a bounded sequence of real numbers. Consider another sequence (yn) of real numbers defined by Yn := 1+r21 +r222 +...+re in for each n E N. Use the e-H definition to prove that (yn) is a Cauchy sequence.