Consider the arithmetic sequence presented in the table below.

n 5 71
an 74 1,460

hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

part a: what is the first term, a1, of the sequence?

part b: what is the general term equation, an, for this sequence?

part c: what is the value of the 13th term of this sequence?

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.