Mastering Word Problems & Series in Summation Notation

A store sells a new video game for $50. Each week, the price decreases by $5. If the price continues to decrease for 8 weeks, what will be the total amount spent if a customer buys the game at the end of each week?

• 270

• 320

• 300

• 250

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

• 16 feet

• 14 feet

• 12 feet

• 10 feet

A car rental company charges a flat fee of $20 plus $15 for each day the car is rented. If a customer rents a car for 7 days, what is the total cost?

• $100

• 125

• $90

• $150

A student saves $10 in the first week and increases their savings by $5 each week. How much will the student have saved after 10 weeks?

• 325

• 150

• 200

• 275

A geometric series starts with a term of 3 and each subsequent term is multiplied by 2. What is the sum of the first 6 terms of this series?

• 200

• 189

• 150

• 120

A company’s profits are projected to increase by 10% each year. If the profit in the first year is $100,000, what will be the total profit over the first 5 years?

• 610510

• 550000

• 500000

• 700000

A concert hall has 100 seats in the first row, and each subsequent row has 10 fewer seats. How many seats are there in the first 10 rows combined?

• 500

• 550

• 600

• 450

A person is saving for a vacation and plans to save $200 in the first month, increasing their savings by $50 each month. How much will they have saved after 12 months?

• 4500

• 1200

• 5700

• 3600

A geometric sequence has a first term of 5 and a common ratio of 3. What is the sum of the first 4 terms?

• 120

• 150

• 200

• 250

A local gym charges a membership fee of $30 plus $10 for each class attended. If a member attends 15 classes in a month, what is the total amount spent on classes?

• 120

• 150

• 180

• 210