The admission team at a new university are trying to predict the number of student application they will receive each year. Let n be the number of years that the university has been open. T admissions team collect the following data for the first two years. Number of applications received in year n 12300 12669 Year (n) 1 2 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available fo applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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11:16:
n
The admission team at a new university are trying to predict the number of student applications
they will receive each year. Let n be the number of years that the university has been open. The
admissions team collect the following data for the first two years.
Number of applications received in year n
Year (n)
1
+
T/
12300
12669
It is assumed that the number of students that apply to the university each year will follow a
geometric sequence, un. In the first year there were 10380 places at the university available for
applicants. The admissions team announce that the number of place available will increase by
600 every year. Let vn, represent the number of places available at the university in year n. For
the first 10 years that the university is open, all places are filled. Students who receive a place
each pay an $80 acceptance fee. When n=k, the number of places available will, for the first
time, exceed the number of students applying.
a) Calculate the percentage increase in applications form the first year to
the second year.
b)
Add a caption...
i) Write down the common ratio of the sequence.
ii) Find the expression for un
iii) Find the number of student applications the university expects
> mo
Transcribed Image Text:11:16: n The admission team at a new university are trying to predict the number of student applications they will receive each year. Let n be the number of years that the university has been open. The admissions team collect the following data for the first two years. Number of applications received in year n Year (n) 1 + T/ 12300 12669 It is assumed that the number of students that apply to the university each year will follow a geometric sequence, un. In the first year there were 10380 places at the university available for applicants. The admissions team announce that the number of place available will increase by 600 every year. Let vn, represent the number of places available at the university in year n. For the first 10 years that the university is open, all places are filled. Students who receive a place each pay an $80 acceptance fee. When n=k, the number of places available will, for the first time, exceed the number of students applying. a) Calculate the percentage increase in applications form the first year to the second year. b) Add a caption... i) Write down the common ratio of the sequence. ii) Find the expression for un iii) Find the number of student applications the university expects > mo
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