Question 6
N6 (BLR). Prove that for every real number $M$ there exists an infinite arithmetic progression such that:
(i) each term is a positive integer and the common difference is not divisible by $10$;
(ii) the sum of the digits of each term (in decimal representation) exceeds $M$.
(i) each term is a positive integer and the common difference is not divisible by $10$;
(ii) the sum of the digits of each term (in decimal representation) exceeds $M$.