A store finds that the number of shirts sold increases each week. In the first week, only 16 shirts were sold. In the next week, 23 shirts were sold and in the third week 30 shirts were sold. The number of shirts sold each week represents an arithmetic sequence.

What is the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.