Name: _____________________________________________ p.____
Arithmetic Sequences and Series Homework
1. After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12
minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per
day. How many weeks will it be before you are up to jogging 60 minutes per day?
2. Lee earned $240 in the first week, $350 in the second week and $460 in the third week, and so on in an arithmetic
sequence. How much did he earn in the first 5 weeks?
3. There are 125 passengers in the first carriage, 150 passengers in the second carriage and 175 passengers in the
third carriage, and so on in an arithmetic sequence. What’s the total number of passengers in the first 7 carriages?
4. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary
school, and so on in an arithmetic sequence. What’s the total amount of students in the primary school? (Primary
School has 6 grades)
5. You visit the Grand Canyon and drop a rock off the edge of a cliff. The distance the rock will fall is 16 feet the
first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total
distance the object will fall in 6 seconds?
6. A car travels 300 m the first minute, 420 m the next minute, 540 m the third minute, and so on in an arithmetic
sequence. What’s the total distance the car travels in 5 minutes?
7. The Greek theater shown at the right has 30 seats in the first row of the center
section. Each row behind the first row gains two additional seats. How many
seats are in the 5th row in the center section?
8. Billy is stacking alphabetic blocks in the pattern shown below. The number of blocks in each stack represents the
terms in a sequence. A) In which stack will Billy place the letter "J" at the
bottom of the stack? B) How many blocks would it take to continue this
pattern for the whole alphabet?
9. A pattern exists in the sum of the interior angles of polygons. The sum of
the interior angles of a triangle is 180º, of a quadrilateral is 360º, and of a
pentagon is 540º. What is the sum of the interior angles of a nonagon (9sided shape)?
10. Lanie has decided to add strength training to her exercise program. Her trainer suggests that she starts with 5
minutes during her routine for the first week. Each week thereafter, she is to increase the weight lifting time by 2
minutes. If Lanie continues with this increase in weight lifting time, a) how many minutes will she be devoting to
weight lifting in week 10? B) How many total minutes will she have lifted from day 1 to day 10?
11. Your father wants you to help him build a shed in the backyard. He says he will pay you $10 for the first week
and add an additional $10.50 each week thereafter. The project will take 5 weeks. How much money will you earn,
in total, if you work for the 5 weeks?
12. Your grandmother gives you $1000 to start a college book fund. She tells you she will add $200 to the fund each
month, if you will add $5 each month. After how many months will the college book fund have $5715?
13. An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so
on and has 30 rows of seats. How many seats are in the theatre?
14. Logs are stacked in a pile with 24 logs on the bottom row and 15 on the top row. There are 10 rows in all with
each row having one more log than the one above it. How many logs are in the stack?
15. What is the sum of the first 56 numbers?