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IB MAI HL Number and Algebra Topic 1.2 Sequences & Series (id: 9c83df45c)

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admin 发表于 2024-2-9 14:58:15 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.2 Sequences & Series,类别为 IB数学

[填空题]
Towards the end of 200k6coya)d1e f /8ud ry.40 jb g2g 9bnmr*kxky(g; 4d,yz, a theatre company upgraded their auditorium and installed new comfortable ergonomic chairs for the audiencgjxbzyy*k( d9kb; g,gnm402r e.

After the redesign, there were 20 seats in the first row and each subsequent row had three more seats than the previous row.

1.If the auditorium had a total of 16 rows, find
1.1.the total number of seats in the last row.
$u_{16}$=  seats.
1.2.the total number of seats in the auditorium.
$S_{16}$=  seats.
The auditorium reopened for performances at the start of 2005. The average number of visitors per show during that year was 500. In 2006, the average number of visitors per show increased by 5%.

2.Find the average number of visitors per show in 2006.
The average number of visitors per show continued to increase by 5% each year.
we get    visitors
3.Determine the first year in which the total number of visitors to a show exceeded the seating capacity of the auditorium.

The theatre company hosts 25 shows per year.

4.Determine the total number of visitors that attended the auditorium from when it opened in 2005 until the end of 2011. Round your answer correct to the nearest integer.
we get    visitors




参考答案:
空格1: 65空格2: 680空格3: 525空格4: 101775


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