Mastering Sequences and Series Calculations in Math

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? Calculate the total depreciation over this period.

• $15,000

• $12,000

• The value of the car after 5 years is $10,000.

• $8,000

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 6 years?

• 1000

• 800

• 1200

• 600

A geometric sequence starts with 3 and has a common ratio of 2. What is the 5th term of this sequence?

• 60

• 24

• 36

• 48

A student saves $50 in the first month and increases their savings by $10 each month. How much will the student have saved after 12 months?

• 600

• 780

• 1260

• 840

A company’s profit follows a geometric sequence where the first term is $1,000 and the common ratio is 1.5. What will be the total profit after 4 years?

• 3000

• 5000

• 8125

• 10000

A theater sells tickets in an arithmetic sequence where the first ticket costs $10 and each subsequent ticket costs $2 more. What is the total revenue from selling 10 tickets?

• 150

• 190

• 210

• 180

A sequence of numbers starts with 5 and each term increases by 3. What is the sum of the first 8 terms of this sequence?

• 100

• 90

• 124

• 110

A bank offers a savings account with an initial deposit of $200 and an interest rate of 5% compounded annually. What will the total amount be after 3 years?

• 215.00

• 231.53

• 200.00

• 250.00

A runner completes the first lap of a track in 2 minutes and decreases their lap time by 10 seconds each lap. How long will it take to complete the 5th lap?

• 100 seconds

• 90 seconds

• 80 seconds

• 70 seconds

A population of rabbits doubles every year. If there are initially 50 rabbits, how many will there be after 4 years? Calculate the total population growth over this period.

• 1000 rabbits

• 400 rabbits

• 800 rabbits

• 200 rabbits