SOLUTION: 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, 1, or 2 for each i. (a) Is the number 1/4 in

Algebra ->  Decimal-numbers -> SOLUTION: 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, 1, or 2 for each i. (a) Is the number 1/4 in      Log On


   



Question 1209410: 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, 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?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

See the explicit solution, found/produced by artificial intelligence (AI)
as the response to my request under this link

https://www.google.com/search?q=Let+S+be+the+set+of+all+real+numbers+of+the+form+(a_1)%2F(3)+%2B+(a_2)%2F(3%5E2)+%2B+(a_3)%2F(3%5E3)+%2B+...+where+(a_i)+is+equal+to+either+0%2C+1%2C+or+2+for+each+i.+(a)+Is+the+number+1%2F4+in+the+set+S%3F+(b)+Is+the+number+1%2F7+in+the+set+S%3F&rlz=1C1CHBF_enUS1071US1071&oq=Let+S+be+the+set+of+all+real+numbers+of+the+form++(a_1)%2F(3)+%2B+(a_2)%2F(3%5E2)+%2B+(a_3)%2F(3%5E3)+%2B+...++where+(a_i)+is+equal+to+either+0%2C+1%2C+or+2+for+each+i.++(a)+Is+the+number+1%2F4+in+the+set+S%3F+++(b)+Is+the+number+1%2F7+in+the+set+S%3F&gs_lcrp=EgZjaHJvbWUyBggAEEUYOdIBCTE5MjhqMGoxNagCCLACAQ&sourceid=chrome&ie=UTF-8