Finding nth Terms in Sequences and Series for 8th Grade

A gardener plants a row of 5 trees. Each tree is spaced 3 feet apart. If the first tree is planted at the 0-foot mark, what is the position of the nth tree? Find the position of the 10th tree.

• 24 feet

• 21 feet

• 27 feet

• 30 feet

A book club reads 2 books in the first month, 4 books in the second month, and continues to double the number of books read each month. How many books will they read in the 6th month?

• 16

• 64

• 32

• 128

A car travels 60 miles in the first hour, 70 miles in the second hour, and continues to increase its speed by 10 miles each hour. What will be the distance traveled in the 5th hour?

• 80 miles

• 100 miles

• 90 miles

• 110 miles

A factory produces 100 toys in the first week and increases production by 20 toys each subsequent week. How many toys will be produced in the 8th week?

• 240

• 260

• 180

• 200

A student saves $5 in the first week, $10 in the second week, and continues to save $5 more each week. How much will the student have saved by the end of the 10th week?

• 275

• 225

• 200

• 150

A sequence starts with 3 and each term increases by 4. What is the 15th term of this sequence?

• 49

• 63

• 59

• 55

A theater sells 50 tickets on the first day, 75 tickets on the second day, and increases ticket sales by 25 each day. How many tickets will be sold on the 10th day?

• 300

• 225

• 250

• 275

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

• 80 seconds

• 90 seconds

• 70 seconds

• 100 seconds

A savings account starts with $100 and earns $20 more each month. How much will be in the account after 12 months?

• $250

• $340

• $400

• $300

A sequence of numbers starts with 1 and each term is the previous term multiplied by 3. What is the 7th term of this sequence?

• 81

• 243

• 27

• 729