Sequences and series

The table models a Pay It Forward scheme started by Kelly and her friends at school. How many people will be doing good deeds in the 9th stage?

• 24 people

• 1,536 people

• 384 people

• 6,144 people

Mr. Whitman is in a 24-hour dance-a-thon as a part of a fundraiser. He raised $50 in the first hour of the competition, then another $60 in the second hour, then another $72 in the third hour. If this pattern continues, what will be the total amount of money he raises if he stays for the entire competition?

• $19,624.21

• $14,025.52

• $852.78

• $110,432.01

A bathroom floor has tiles arranged in 9 circles.  The innermost circle contains 9 tiles.  Each successive circle contains 9 more tiles than the previous circle.  How many total tiles are on the bathroom floor?

• 81
• 396
• 405
• 729

Five years ago, Vanessa bought a car for $25,000. Each year since then, the value of the car has decreased by 12%. What is the approximate value of the car after 5 years?

• $44,000

• $13,200

• $650

• $15,000

David owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 7% annually, how many stores does the restaurant operate in 2007?

What would you use for your exponent in this problem?

• 1999

• 2007

• 7

• 8

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $344,022

• $15,000

• $31,500

• $28,500

The population of a city is decreasing by 3% every year. If the population is 125,000 in the 1st year, how many will remain in the 10th year?

• 92,178 people

• 95,029 people

• 167,990 people

• 163,096 people

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

• Growth, 75%
• Growth, 25%
• Decay, 75%
• Decay, 25%

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011? (51 years)

• $344,022

• $31,500

• $15,000

• $28,500

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? (Round to nearest whole number)

• 9766

• 9006

• 9765

• 5433