Arithmetic Sequence Application

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

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

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate. There are 32 seats in the 8th row and 68 seats in the 20th row. Write an explicit rule to represent this pattern.

• A = 11+ 3n

• A = 8 + 3n

• A = 3 + 8n

• A = 3 + 11n

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate.  If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?

• 240

• 248

• 272

• 320

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 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

In an arithmetic sequence -5, -3, -1. . ., what is the 10th term?

• -9

• 9

• 13

• -13

A stack of oranges has 10 layers with 100 oranges at the bottom layer. There are 81 oranges in the second layer and 64 oranges in the third layer. If the pattern continues, how many oranges are there in the eighth layer?

• 9

• 13

• 16

• 20

What is the 5th term of the arithmetic sequence an = 5n + 1 ?

• 23

• 24

• 25

• 26