Answer:
*☆ SKIP TO NUMBER 9 ☆*
1. Which table represents an arithmetic sequence?
C
2. The arithmetic sequence from the previous problem is 8.7, 7.3, 5.9, 4.5, 3.1, . . . . What is the common difference, d, of this sequence?
d = -1.4
3. What rule can be used to find the next term of the arithmetic sequence?
39, 60, 81, 102, 123, . . .
C. an = an–1 + 21
4. The next term of the arithmetic sequence
39, 60, 81, 102, 123, . . . is
144
5. What is the common difference of the arithmetic sequence?
d = 7
6. What is the first term of the arithmetic sequence?
B. -4
7. What values of x, y, and z complete the table for the arithmetic sequence?
x = 3
y = 10
z = 17
8. Explain how to write the explicit rule for the arithmetic sequence from the given information.
(The rule shows that each term is 8 more than the previous term, so the common difference is 8. The explicit formula of an arithmetic sequence is the initial term plus (n – 1)d. The explicit rule for this function can be found by substituting 42 for a1 and 8 for d. The explicit rule for the sequence is 42 + (n – 1)8.)
9. What is the explicit formula of the arithmetic sequence shown in the graph?
C. 28,000 + (n - 1)800
10. If the pattern continues, what will Ms. Franklin’s salary be in year 10?
35,200
11. The table shows an arithmetic sequence.. How could you find the missing value in the table? Check all that apply.
A. Evaluate the explicit rule for n = 4.
C. Subtract 16 from the fifth term of the sequence.
12. What is the explicit rule for the sequence?
D. an = 36 + (n – 1)16
13. What is the fourth term of the arithmetic sequence?
84
14. What are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?
C. 17 , 28,39, 50 . . .
15. What is the explicit rule for the arithmetic sequence?
an = 17 + (n – 1) 11
16. Keena paid a total of $94 to take ballet classes. How many classes did she take?
8 classes
17. What is the common difference of the arithmetic sequence?
The common difference is 1/6
18. What is the explicit rule for the arithmetic sequence?
C