Thursday, January 29, 2009

Q)  Define a a sequence    as follows: 

, if number of positive divisors of  is odd 
, if number of positive divisors of  is even 

(The positive divisors of  include  as well as .)Let  be the real number whose decimal expansion contains  in the -th place,.Determine,with proof,whether  is rational or irrational.


A)
 


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