MathDB
in the k-th month the weeks consist of 6^{k-1} days

Source: 2021 Dürer Math Competition Finals Day2 E1 https://artofproblemsolving.com/community/c2749870_2021_

January 8, 2022
algebra

Problem Statement

In Sixcountry there are 12 12 months, but each month consists of 66 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 kk-th month the weeks consist of 6kāˆ’16^{k-1} days. What is the number of days of the spring (March, April, May together)?