Sequences and series

The height of the water in a fish pond decreases 3 inches each week. What is the change in height after 5 weeks?

A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern.

If the theater has 20 rows of seats, how many seats are in the 20th row of the theater?

• 172 seats

• 180 seats

• 188 seats

• 212 seats

Ms Preston works in a gym. At the start of her shift there were 20 people in the gym. Every hour five more people came into the gym. If Ms Preston worked for 4 hours how many people were in the gym at the end of her shift?

• 80 people

• 40 gyms

• 40 people

• 80 gyms

Is 133 a possible term in the following sequence?

40, 43, 46, ...

• Yes! It is the 32nd term.

• No. When I solve, n is a decimal.

• Yes! It is the 30th term.

Jenny has $40 in her savings account. She adds $10 per week. How many weeks will it take for her to have $100 in her savings account?

• 7 weeks

• 8 weeks

• 6 weeks

• 5 weeks

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?

• 7 weeks

• 8 weeks

• 9 weeks

• 10 weeks

As early as Grade 3, Khent was taught by his parents to save money. He has a piggy bank. He starts to deposit money every month in the following pattern for a period of two years: 10, 15, 20, 25, and so on. How much will be the total amount of the money he has after two years?

• 125

• 1,620

• 3,240

• 135

Which of the following is the formula to model the number of gray squares in the nth figure of the pattern? 

• 6n + 2
• 4n + 4
• n + 8
• 4n

How many matches will be in the next sequence?

• 21

• 25

• 18

• 19

Given the following pattern sequence, describe the pattern that you see.

• Each figure has twice as many as the last figure

• Each figure has the same amount added to it as was added to the previous term, plus 1 more.

• Each figure has the same amount added as the last figure

• Each figure has 1 more dot than the one before it

• No descriptions match.