Unit Test — Unit test Answers

Vince wrote the sequence below.Which of the following explains whether the sequence is geometric?

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 .

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?

Which summation formula represents the series below?13 + 9 + 5 + 1

Which of the following is equivalent to ?

What are the first three terms of a geometric sequence in which and the common ratio is 5?

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?

Which of the following is true regarding the sequence below?

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

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

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

Which summation formula is equivalent to the one below?

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

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

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?

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?

What is the sum of the series ?

Which series has a sum of 20?

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

A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?