Precalculus Challenge: Sequences & Word Problems

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, what is the total cost?

• $80

• $90

• $100

• $70

The first term of a sequence is 3, and each subsequent term is double the previous term. What is the 5th term of this sequence?

• 48

• 60

• 36

• 24

A store is having a sale where the price of an item is reduced by 15% from its original price of $80. What is the sale price of the item?

• $70

• $75

• $68

• $60

A sequence of numbers starts with 2 and increases by 4 each time. What is the 10th term of this arithmetic sequence?

• 50

• 42

• 38

• 30

A gardener plants a tree that grows 2 inches in the first year and then grows 3 inches each subsequent year. How tall will the tree be after 5 years?

• 10 inches

• 16 inches

• 14 inches

• 12 inches

A phone plan costs $30 per month plus $0.10 per text message. If a user sends 200 text messages in a month, what is the total monthly cost?

• $40

• $50

• $60

• $70

The first term of a geometric sequence is 5, and the common ratio is 3. What is the 4th term of this sequence?

• 81

• 243

• 45

• 135

A movie theater sells tickets for $12 each. If they sell 150 tickets, what is the total revenue generated from ticket sales?

• 1800

• 1500

• 1200

• 2000

A sequence is defined by the formula a_n = 2n + 1. What is the value of a_6?

• 11

• 9

• 15

• 13

A subscription service charges $10 per month and offers a discount of $5 for every 6 months paid in advance. What is the total cost for a year if paid in advance?

• $95

• 110

• $100

• $120