Applications of Arithmetic Sequences

An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row. How many seats are there in the 4th row?

• 30 seats

• 32 seats

• 34 seats

• 36 seats

Sweet Time Bakery just opened and is increasing the number of items they bake. For example, the bakery made 150 carrot cakes in January, 133 carrot cakes in February, 116 carrot cakes in March, and 99 carrot cakes in April. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

A plumber charges $55 for 1 hour of work, $90 for 2 hours, and $125 for 3 hours. Which function represents the sequence of hourly charges?

• a_n = 55 + 35n

• a_n = 55(35)^n-1

• a_n = 35 + (n-1)55

• a_n = 55 + (n-1)35

A grocer is creating a display of cans. There are 40 cans on the 1st (bottom) row, 38 cans on the 2nd row, 36 cans on the 3rd row, and so on. How many cans will be on the 15th row?

• 32 cans

• 10 cans

• 12 cans

• 68 cans

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

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 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

A pile of bricks has 97 bricks in the first row, 91 bricks in the second row, 85 bricks in the third row, and so on until there is only one brick in the top row.

How many bricks are in the 15th row?

• 0 bricks

• 1 brick

• 7 bricks

• 13 bricks

As early as Grade 3, Khent was taught by his parents to save money. He has a piggy bank. He starts to deposit money every month in the following pattern for a period of two years: 10, 15, 20, 25, and so on. How much will be the total amount of the money he has after two years?

• 125

• 1,620

• 3,240

• 135