Tickets to the 2D concert went on sale at 9am in the morning. During the first minute 3000 tickets were sold, during the second minute 2700 tickets were sold and during the third minute 2430 tickets were sold. Suppose that this decreasing pattern continues. а. Show that the sequence is geometric. b. Find the number of tickets sold in the fourth minute How many tickets were sold during the first 10 minutes of ticket sales? Give your answer to the nearest whole number. c.

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Question 4
Tickets to the 2D concert went on sale at 9am in the morning. During the first minute 3000
tickets were sold, during the second minute 2700 tickets were sold and during the third
minute 2430 tickets were sold. Suppose that this decreasing pattern continues.
а.
Show that the sequence is geometric.
b.
Find the number of tickets sold in the fourth minute
How many tickets were sold during the first 10 minutes of ticket sales? Give your
answer to the nearest whole number.
c.
d.
The venue can only hold a capacity crowd of 28 000. Use your calculator to
determine during which minute the last ticket would be sold?
Before the concert began a select group of 200 people were initially let in to the
stadium. Several doors were then opened to the general public so that 400 people
entered the stadium per minute.
е.
The number of people inside the stadium over time could be modelled by an
arithmetic sequence, where t, is the number of people in the stadium after 1 minute.
A rule for this sequence is given by tn = 600 + b(n – 1).Write down the value of b.
Transcribed Image Text:Question 4 Tickets to the 2D concert went on sale at 9am in the morning. During the first minute 3000 tickets were sold, during the second minute 2700 tickets were sold and during the third minute 2430 tickets were sold. Suppose that this decreasing pattern continues. а. Show that the sequence is geometric. b. Find the number of tickets sold in the fourth minute How many tickets were sold during the first 10 minutes of ticket sales? Give your answer to the nearest whole number. c. d. The venue can only hold a capacity crowd of 28 000. Use your calculator to determine during which minute the last ticket would be sold? Before the concert began a select group of 200 people were initially let in to the stadium. Several doors were then opened to the general public so that 400 people entered the stadium per minute. е. The number of people inside the stadium over time could be modelled by an arithmetic sequence, where t, is the number of people in the stadium after 1 minute. A rule for this sequence is given by tn = 600 + b(n – 1).Write down the value of b.
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