Application Sequences and Series

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 jogging 60 minutes per day?

• 7 weeks

• 8 weeks

• 9 weeks

• 10 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

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 cans in the next row and so on in an arithmetic sequence, until the top row has 4 cans.

How many rows are there on the display?

• 7 rows

• 8 rows

• 9 rows

• 10 rows

Each year a school manages to only use 90% of the paper they used the previous year. In 2003 they used 700 000 sheets of paper. How many sheets of paper did the school use in 2004 & 2005?

• 610 000 & 520 000 sheets

• 1.3 million & 2.52 million sheets

• 630 000 & 567 000 sheets

• 70 000 & 7000 sheets

Find the Future value of an investment of $8 500 at an interest rate of 4.5% compounded annually, after 10 years.

• $13 200.24

• $13 052.27

• $5 363.55

• $21 530.11

Ahmed wants to buy a house. He invests $165 000 for 5 years. Interest is calculated at 6% p.a. compounded quarterly. How much money will Ahmed have in his account after the 5 years?

• $220 807.22

• $221 115.78

• $222 312.92

• $222 231.08

Calculate the interest earned on an investment of $20 000 over a period of 15 years if interested was calculated at 5.5% p.a compounded monthly.

• $45 551.68

• $25 551.68

• $44 649.53

• $24 649.53

There were originally 1400 alligators in the Florida Everglades. Since then, the population of alligators has increased by 5% each year. How long will it take for the population to be more than 2000?

• 15 years

• 9 years

• 7 years

• 8 years

A pile of bricks has 97 bricks in the first row, 91 bricks in the second row, 85 bricks in the third row, and so on until there is only one brick in the top row.

How many bricks are in the 15th row?

• 0 bricks

• 1 brick

• 7 bricks

• 13 bricks

Tags

CCSS.HSF.BF.A.2

Starting May 1, a new store will begin giving away 500 posters as a promotion. Each day, 4 posters will be given away.

If the store is open 7 days a week, how many posters will the store have left when it opens for business on May 14?

• 476 posters

• 452 posters

• 448 posters

• 440 posters

Tags

CCSS.3.NBT.A.2

CCSS.3.OA.A.3

CCSS.3.OA.C.7

CCSS.3.OA.D.8