Modeling with Sequences and Series Answers

There are 15 rows of seats in an auditorium. The first row has 20 seats, and each of the other rows has 5 more seats than the row immediately in front of it. Which of the following is formed by the list of the number of seats in each row?

A marine biologist is setting up a net 6 feet below the surface of the water. Each foot of the water screens out 40% of the light coming from the surface. Which of the following is the approximate percentage of light remaining after passing through 6 feet of water, to the nearest tenth of a percent?

Consider the pattern below.What does this pattern represent?

A student wrote the terms below.What do these terms represent?

The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years?

Mr. Bryant wants to distribute a copy of a chart to his students. He reduces the area of the chart a number of times on a photocopier, as shown in the table below.Reductions of Chart and Percent of Original AreaNumber of Reductions1234Percent of Original Area50%25%12.5%6.25%If the fifth reduction follows the pattern in the table, which of the following represents the area of the image?

A botanist measures a plant, in feet, at the beginning of each month and notices that the measurements form a geometric sequence, as shown below.2, 2.2, 2.42, 2.662, ...If the first measurement was taken on September 1, about how tall was the plant three months before, on June 1, assuming the same growth pattern?

Juliana wrote the terms below.–8, –4, 0, 4, 8, 12What do these terms represent?

A company has a property tax bill for $6,000 this year. It expects property values to rise by 8% each year, which will increase the property tax bill by 8% each year. To the nearest dollar, what is the expected amount of property taxes the company will pay for this year and the upcoming three years?

Alberto is stacking firewood. He puts 20 logs on the bottom row. Then he stacks each row so that there is 1 fewer log than the row below. Which of the following can be used to determine the total number of logs in 10 rows?