Graphing and Finding Common Differences in Sequences

A gardener plants a row of 5 trees. Each tree is planted 3 feet apart. Write a recursive formula to represent the distance of the nth tree from the first tree. What is the distance of the 10th tree?

• 27 feet

• 24 feet

• 21 feet

• 30 feet

A student saves $5 on the first week and increases her savings by $2 each week. Write a recursive formula for her savings. How much will she have saved by the 8th week?

• 30

• 25

• 19

• 15

A book club reads 2 books in the first month and increases the number of books read by 1 each subsequent month. Write a recursive formula for the number of books read in the nth month. How many books will they read in the 6th month?

• 5

• 7

• 8

• 10

A factory produces 100 toys in the first week and increases production by 20 toys each week. Write a recursive formula for the number of toys produced in the nth week. How many toys will be produced in the 5th week?

• 180

• 160

• 150

• 200

A runner completes 1 mile in the first week and increases her distance by 0.5 miles each week. Write a recursive formula for the distance run in the nth week. How far will she run in the 10th week?

• 6 miles

• 7 miles

• 5.5 miles

• 4 miles

A concert hall has 50 seats in the first row and adds 10 more seats in each subsequent row. Write a recursive formula for the number of seats in the nth row. How many seats are there in the 7th row?

• 90

• 110

• 70

• 130

A subscription service starts with 3 movies in the first month and adds 2 more movies each month. Write a recursive formula for the number of movies available in the nth month. How many movies will be available in the 4th month?

• 7

• 9

• 5

• 11

A savings account starts with $100 and earns $10 more each month. Write a recursive formula for the total amount in the account after n months. What will be the total after 6 months?

• 150

• 200

• 130

• 160

A school has 200 students in the first year and increases enrollment by 25 students each year. Write a recursive formula for the number of students in the nth year. How many students will there be in the 5th year?

• 300

• 350

• 250

• 275

A bicycle shop sells 15 bikes in the first month and increases sales by 5 bikes each month. Write a recursive formula for the number of bikes sold in the nth month. How many bikes will be sold in the 12th month?

• 70

• 60

• 80

• 90