Arithmetic Sequence Application

Identify the common difference of the sequence below:

• -1.2

• 1.3

• 1.2

• -1.3

Identify the next three terms of the sequence below:

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26

An ______________sequence is a sequence of numbers in which the difference between any two consecutive terms is a constant. 

• Geometric Sequence

• Arithmetic Sequence

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.

If the theater has 20 rows of seats, how many seats are in the 20th row of the theater?

• 172 seats

• 180 seats

• 188 seats

• 212 seats

• 315

• 330

• 345

• 360

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. What are the first term and the common difference?

• the first term 6 and common difference 12

• the first term 12 and common difference 6

• the first term 6 and common difference -6

• the first term 12 and common difference 12

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.

How many weeks will it be before you are up to jogging 60 minutes per day?

• 7 weeks

• 8 weeks

• 9 weeks

• 10 weeks

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.

What are the first term and the common difference?

• a₁=60, d=68

• a₁=60, d=8

• a₁=60, d= -8

• a₁=8, d=60

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has 4 cans.

What are the first term and the common difference?

• a₁₌20 d=2

• a₁₌ 20 d= -2

• a₁₌ -20 d= 18

• a₁₌ 20 d= - 18

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, and so on in an arithmetic sequence, until the top row has 4 cans.

How many rows are there on the display?

• 7 rows

• 8 rows

• 9 rows

• 10 rows