In Sixcountry there are $ 12$ months, but each month consists of $6$ weeks. The month are named the same way we do, from January to December, but in each month the weeks have different lengths. In the $k$-th month the weeks consist of $6^{k-1}$ days. What is the number of days of the spring (March, April, May together)?
Problem
Source: 2021 Dürer Math Competition Finals Day2 E1 https://artofproblemsolving.com/community/c2749870_2021_
Tags: algebra