Mastering nth Terms & Sums in Arithmetic Sequences

A gardener plants a row of 5 trees. Each tree is planted 3 feet apart. How far is the last tree from the first tree? Calculate the nth term for the position of the last tree.

• 12 feet

• 9 feet

• 15 feet

• 10 feet

A book club meets every 2 weeks. If the first meeting is on January 1st, what date will the 10th meeting occur? Calculate the nth term for the meeting dates.

• April 23rd

• May 14th

• May 7th

• June 1st

A student saves $5 in the first week and increases their savings by $2 each week. How much will the student save in the 8th week?

• 15

• 25

• 10

• 19

A concert ticket price starts at $20 and increases by $3 each week. What will be the price of the ticket in the 6th week?

• $40

• $35

• $30

• $25

A factory produces 100 toys in the first week and increases production by 20 toys each week. How many toys will be produced in the 10th week?

• 200

• 280

• 240

• 300

A runner completes a lap in 4 minutes and reduces their time by 30 seconds each week. How long will it take them to complete a lap in the 5th week?

• 4 minutes

• 3 minutes

• 2 minutes

• 1 minute

A family plans to take a vacation every 3 months. If their first vacation is in January, when will their 5th vacation be? Calculate the nth term for the vacation months.

• July

• April

• January

• October

A school is organizing a fundraiser. They plan to sell 50 cookies in the first week and increase sales by 10 cookies each week. How many cookies will they sell in the 7th week?

• 90

• 100

• 120

• 110

A subscription service charges $10 for the first month and increases the fee by $2 each month. What will be the total cost for the first 6 months? Calculate the sum of the arithmetic series.

• 70

• 80

• 90

• 100

A sports team scores 15 points in the first game and increases their score by 5 points in each subsequent game. What will be the total score after 5 games? Calculate the sum of the arithmetic series.

• 90

• 125

• 80

• 100