IB MAI HL Number and Algebra Topic 1.2 Sequences & Series (id: d74c216d2)

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]
A ball is dropped from thqjlr 4fqx x-v0kl4) r5e top of the Eiffel Tonr0gcr6cyf,u2 477if2gd qzmwer, 324 metres from the ground. The ball falls a distance of 4.9 metres during the first second, 14.7 metres during the next second, 24.5 metres during the tg r7my0 z6c fc2ngidqu4r2f,7hird second, and so on. The distances that the ball falls each second form an arithmetic sequence.

1.1.Find d, the common difference of the sequence.
d=  .
1.2.Find $u_5$ , the fifth term of the sequence.
$u_5$=  m.
2.Find $S_6$, the sum of the first 6 terms of the sequence.
$S_6$=  m.
3.Find the time the ball will take to reach the ground. Give your answer in seconds correct to one decimal place.
we obtain n ≈    seconds
Assuming the ball is dropped another time from a much higher height than of the Eiffel Tower,

4.find the distance the ball travels from the start of the 10th second to the end of the 15th second.
we get S=  m.
The Eiffel Tower in Paris, France was opened in 1889, and 1.9 million visitors ascended it during that first year. The number of people who visited the tower the following year (1890) was 2 million.

5.Calculate the percentage increase in the number of visitors from 1889 to 1890. Give your answer correct to one decimal place.
% increase=  %.
6.Use your answer to part (e) to estimate the number of visitors in 1900, assuming that the number of visitors continues to increase at the same percentage rate.
$v_{12}$=  million.

参考答案:
空格1: 9.8  空格2: 44.1  空格3: 176  空格4: 8.1±0.1  空格5: 705.6  空格6: 5.3±0.1  空格7: 3.34 


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