7.01 Arithmetic Sequences and Series

Identify the 31st term of an arithmetic sequence where a1 = 26 and a22 = −226.

-334

The windows of a downtown office building are arranged so that each floor has 6 fewer windows than the floor below it. If the ground floor has 52 windows, how many windows are on the 8th floor?

10

The seats at a local baseball stadium are arranged so that each row has 5 more seats than the row below it. If there are 4 seats in the 1st row, how many seats are in row 23?

114

Identify the 35th term of an arithmetic sequence where a1 = −7 and a18 = 95.

197

Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st term.

an = 11 − 2(n − 1); a31 = −49

Given the functions f(n) = 25 and g(n) = 3(n − 1), combine them to create an arithmetic sequence, an, and solve for the 12th term.

an = 25 + 3(n − 1); a12 = 58

Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain. n an 1 9 2 3 3 -3

an = 9 − 6(n − 1) where n ≥ 1

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.

−144