## Question

###### (Real Analysis)For example, given a sequence (ð‘¥ð‘›) so that there are A>0, C âˆˆ(0,1) and K âˆˆ â„• so that|ð‘¥ð‘›+1âˆ’ð‘¥ð‘›|â‰¤ð´ð¶ð‘›,âˆ€ð‘›â‰¥ð¾.Prove (ð‘¥ð‘›) is a Cauchy Sequence.

(Real Analysis) For example, given a sequence (ð‘¥ð‘›) so that there are A>0, C âˆˆ (0,1) and K âˆˆ â„• so that |ð‘¥ð‘›+1âˆ’ð‘¥ð‘›|â‰¤ð´ð¶ð‘›,âˆ€ð‘›â‰¥ð¾. Prove (ð‘¥ð‘›) is a Cauchy Sequence.

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