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

(a_1)/(3) + (a_2)/(3^2) + (a_3)/(3^3) + ...

where (a_i) is equal to either 0 or 1 or 2 for each i.

 

(a) Is the number 1/4 in the set S? 

 

(b) Is the number 1/7 in the set S?

 
 Mar 31, 2024

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