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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 cm long. A new square is formed by joininmgmof4c r xm65 9( bjjg+o(yp2g thjcp(vd u(3 (ehbo 7g7ge midpoints of the adjacent sides and two of the resulting triangles are shaded as shown. This process is repeated 5 more times to form the rig 7cbu(goj(7h(ve 3dgp ht 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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