Recursive Formulas — Unit test Answers

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

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

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

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 of the following is an arithmetic sequence?

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?

Which of the following is true regarding the sequence below?

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

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

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 the sequence represented by the recursive formula , if ?

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

What are the first two terms of the sequence defined recursively by the formula , when ?

What is the explicit formula for the arithmetic sequence in the table below?n12345an9.27.45.63.82

Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula represents the number of daylilies, a, on the farm after n years. After the fifth year, the farmers estimate they have 2,225 daylilies. How many daylilies were on the farm after the first year?

What is the common difference in the following arithmetic sequence? nan1–122–1310421

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

Which of the following is an arithmetic sequence?

Which of the following is true about the sequence graphed below?

What is the common ratio of the geometric sequence below?–2, 4, –8, 16, –32, ...