Modeling with Sequences and Series Answers

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

Tyrone opens a savings account by depositing $75 in August. He increases each month’s deposit by $10 compared to the previous month’s deposit. Which of the following shows the amounts in Tyrone’s account from August through December?

A grocery store displays cans of soup in rows, with one can on the top row, as shown below.A larger display uses the same pattern as the one above. Which expression can be used to find the total number of cans in rows 22 through 25 in the larger display?

During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win $100. Which equation represents the amount the 10th caller receives if this caller is the first to answer the question correctly?

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

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?

Brenda already has $200 to put toward the purchase of a new laptop that sells for $450. She will save $50 each month, starting next month, until she can buy the laptop. Which of the following represents the amounts she will have each month, starting next month, until she can afford to buy the laptop (assuming there is no sales tax)?

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 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?