Question 30
Colour every positive integer under these rules:
(i) every number is red or green;
(ii) the sum of any two different red numbers is red;
(iii) the sum of any two different green numbers is green. In how many ways can this be done?
(i) every number is red or green;
(ii) the sum of any two different red numbers is red;
(iii) the sum of any two different green numbers is green. In how many ways can this be done?