Mastering Arithmetic and Geometric Series Challenges

A store sells notebooks for $2 each. If the price increases by $0.50 each week, what will be the total cost of buying 10 notebooks over 5 weeks?

• $50.00

• $45.00

• $40.00

• $30.00

A car travels 60 miles in the first hour and increases its speed by 10 miles each hour. How far will it travel in 4 hours?

• 240 miles

• 360 miles

• 300 miles

• 180 miles

A farmer plants 5 trees in the first year and increases the number of trees planted by 3 each subsequent year. How many trees will he have planted after 6 years?

• 75

• 45

• 60

• 90

A geometric series starts with 3 and each term is multiplied by 2. What is the sum of the first 5 terms of this series?

• 93

• 75

• 60

• 45

A company pays its employees $1,000 in the first month and increases the salary by 5% each month. What will be the total salary paid to an employee over 6 months?

• 6802.91

• 6000.00

• 7500.50

• 7200.00

A person saves $100 in the first month and increases their savings by $50 each month. How much will they have saved after 8 months?

• 1800

• 1500

• 2000

• 2250

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

• 64

• 200

• 160

• 120

A theater sells tickets for $10 each, and the price increases by $2 every week. If tickets are sold for 8 weeks, what is the total revenue from ticket sales?

• 126

• 150

• 100

• 200

A student scores 80 points on their first test and increases their score by 5 points on each subsequent test. What will be the total score after 7 tests?

• 700

• 750

• 800

• 765

A bank offers an interest rate of 3% compounded annually on an initial deposit of $1,000. What will be the total amount in the account after 5 years?

• $1,159.27

• $1,100.00

• $1,200.00

• $1,150.00