A new drug and alcohol rehabilitation program performs outreach for members of the community. The number of participants for a 4 -week period is given in the table. (See Example 3) a. Based on the data given, does the number of participants follow an arithmetic progression? b. Write an expression for the n th term of the sequence representing the number of participants, where n represents the week number. c. Predict the number of participants in week 10 if this trend continues.
A new drug and alcohol rehabilitation program performs outreach for members of the community. The number of participants for a 4 -week period is given in the table. (See Example 3) a. Based on the data given, does the number of participants follow an arithmetic progression? b. Write an expression for the n th term of the sequence representing the number of participants, where n represents the week number. c. Predict the number of participants in week 10 if this trend continues.
Solution Summary: The author explains that if the difference between each term and its predecessor is the same or constant, the sequence is an arithmetic sequence.
A new drug and alcohol rehabilitation program performs outreach for members of the community. The number of participants for a
4
-week
period is given in the table. (See Example 3)
a. Based on the data given, does the number of participants follow an arithmetic progression?
b. Write an expression for the
n
th
term of the sequence representing the number of participants, where
n
represents the week number.
c. Predict the number of participants in week
10
if this trend continues.
A new drug and alcohol rehabilitation program performs outreach for members of the community. The number of
participants for a 4-week period is given in the table. (See Example 3)
Week number
Number of participants
2 3 4
66
82
34
50
a. Based on the data given, does the number of participants follow an arithmetic progression?
b. Write an expression for the nth term of the sequence representing the number of participants, where n represents the
week number.
C. Predict the number of participants in week 10 if this trend continues.
a. Supply the missing values in the sequence.
3,
11, 18, 27, 38, 51, 66, 83, 102, 123,
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