Real-World Sequences & Series: Problem Solving Quiz

A car's value depreciates by $2,000 each year. If the car was purchased for $20,000, what will its value be after 5 years?

• $12,000

• $10,000

• $8,000

• $15,000

A farmer plants 100 trees in the first year and increases the number of trees planted by 20 each subsequent year. How many trees will the farmer have planted after 4 years?

• 520

• 480

• 620

• 600

A geometric sequence starts with 3 and has a common ratio of 2. What is the 6th term of this sequence?

• 48

• 96

• 12

• 24

A company pays its employees a starting salary of $30,000, with an annual raise of $1,500. What will be the total salary paid to an employee after 5 years?

• $32,500

• $37,000

• $40,000

• 37500

A bank offers a savings account with an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have in the account after 3 years?

• 1050.25

• 1100.50

• 1157.63

• 1200.00

A theater sells tickets for $10 for the first 100 seats, $15 for the next 100 seats, and $20 for any seats beyond that. If all 300 seats are sold, how much total revenue is generated?

• 5000

• 6000

• 4500

• 4000

A sequence of numbers is defined as follows: the first term is 5, and each subsequent term is 3 more than the previous term. What is the 10th term of this arithmetic sequence?

• 29

• 35

• 32

• 25

A geometric series has a first term of 4 and a common ratio of 3. What is the sum of the first 4 terms of this series?

• 120

• 64

• 200

• 160

A student saves $50 in the first month and increases their savings by $10 each month. How much will the student have saved after 6 months?

• 500

• 450

• 400

• 300

A population of rabbits doubles every year. If there are initially 10 rabbits, how many will there be after 4 years?

• 160

• 120

• 80

• 200