(Steps Shown) Find an example of a sequence of real numbers satisfying each set of properties. Cauchy, but not monotone Monotone, but not Cauchy Bounded,

Question: Find an example of a sequence of real numbers satisfying each set of properties.

Cauchy, but not monotone
Monotone, but not Cauchy
Bounded, but not Cauchy

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(Steps Shown) Find an example of a sequence of real numbers satisfying each set of properties. Cauchy, but not monotone Monotone, but not Cauchy Bounded,

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