Applications of Sequences

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

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. 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

You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the formula that expresses the sequence.

• a_n = 729(1/3)^n-1

• a_n = 729(3)^n-1

• a_n = 1/3(a_n-1)

• a_n = 1/3(729)^n-1

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

You have $10 in your bank account. It doubles in the first month and every month thereafter. How much money will you have after 5 months?

• $50

• $35

• $320

• $250

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 jogging 60 minutes per day?

• 7 weeks

• 8 weeks

• 9 weeks

• 10 weeks

There were originally 1400 alligators in the Florida Everglades. Since then, the population of alligators has increased by 5% each year. How long will it take for the population to be more than 2000?

• 15 years

• 9 years

• 7 years

• 8 years