Unit Test — Unit test Answers

A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below.Which of the following represents the number of balls in the first 8 layers of the pyramid?

A balloon takes 1 minute to rise 60 feet in the air. Each minute after that, the balloon rises 40% as far as it did the previous minute. Which equation represents the total distance, d, in feet that the balloon rises in 6 minutes?

Which of the following can be used to evaluate the series ?

Within the set of whole numbers, one set of numbers satisfies the recursive formula , when . What are the first two terms of the sequence?

What are the first three terms of the sequence represented by the recursive formula , if ?

A worker has four different job offers, each with a contract for seven years. Assuming the job descriptions are identical, for which offer will the worker earn the least over seven years?

An arithmetic series is represented by the equation . Which of the following is true?

Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total?

Which geometric series converges?

Which series has a sum of 20?

What is the value of S4 for ?

If , which recursive formula could represent the sequence below?..., 24, 88, 664, 8408, ...

Micah takes a job with a starting salary of $78,000 for the first year. He earns a 4% increase each year. To the nearest dollar, how much does Micah make over the first seven years?

Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father $50. Each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?

A company gives each new salesperson a commission of $300 for the sale of a new car. The salesperson will receive a $100 increase for each additional car the person sells that week, so the person gets $400 for the next sale that week. Which equation represents the number of cars a salesperson must sell to earn $4,200 in commissions in a week? Recall that for an arithmetic sequence, is equivalent to .

There are 78 students from a local high school attending a concert. The concert hall has 40 rows of seats. The first row has 50 seats, and each row after that has 4 more seats than the one before. If all 78 students sit in one row and are as close to the front row as possible, in which row did the students sit?

What is the summation notation for the geometric series 5 + 10 + 20 + 40 + 80?

What is the simplest form of the fraction that represents 0.49494949...?

The sum of the series below is 10,900. How many numbers, n, are in the series?19 + 20.5 + 22 + 23.5 + ... + 181

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?