1. (Covering part 1 of the lecture slides) Consider the subset A of natural numbers, defined...

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Advance Math

1. (Covering part 1 of the lecture slides)

Consider the subset A of natural numbers, defined by A={ allnatural numbers n : n is congruent to 1 (mod 3) }

First consider G: N -------> {0,1} to be the characteristicfunction of A.

a) Determine G(23) and G(25)

b) determine which sequence of 0,1 is this set associated with.(Write about 9 terms of it, or describe it with a formula.)

c) Which real number in the interval (0,1) in base 2 isassociated with this set?  

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