Recursive Formulas — Unit test Answers

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?

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

Which of the following is true regarding the sequence below?

The first three terms of a geometric sequence are shown below.What is the eighth term of the sequence?

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

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

Which geometric series converges?

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?Graph AGraph BGraph CGraph D

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

What is the sum of the first seven terms of the geometric series?3 + 12 + 48 + 192 + ...

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?

Which of the following is an arithmetic sequence?

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

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

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?

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 values of and r of the geometric series?1 + 3 + 9 + 27 + 81

Which of the following is an arithmetic sequence?

Which formula can be used to find the nth term of the geometric sequence below?

What is the explicit rule for the arithmetic sequence shown in the graph?