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Plz help with this algebra

 

 

Let S be the set of all real numbers of the form

a1/3 + a2/3^2 + a3/3^3 + ....
where a_i \in {0, 1, 2} for all i.

 

(a) Is the number 1/7 in the set S?

(b) Is the number 1/4 in the set S?

 Feb 5, 2023

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