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IB MAI HL Number and Algebra Topic 1.2 Sequences & Series (id: b49fbad5b)

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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]
The sides of a square are 8 cmvrom292f0ex h 7a 7- wg(go fzld,s;fb long. A newgwvwb z*77o+h square is formed by joining the midpoints of the adjacent s*vg zwb7h +ow7ides and two of the resulting triangles are shaded as shown. This process is repeated 5 more times to form the right hand diagram below.

1.Find the total area of the shaded region in the right hand diagram above.
the total area of the shaded region S≈  cm$^2$
2.Find the total area of the shaded region if the process is repeated indefinitely.
Using the sum of an infinite geometric sequence formula $S_∞$=  cm$^2$




参考答案:
空格1: 31.5±0.1空格2: 32


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