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Amiraneli [1.4K]
3 years ago
15

Please help me in math​

Mathematics
1 answer:
olasank [31]3 years ago
6 0

Answer:

  • 4x/3

Step-by-step explanation:

<u>Let the area of initial square is x, then shaded squares will have area as geometric sequence:</u>

  • x/4, x/16, x/64, ...

The first term is x, the common ratio is 1/4

<u>Sum of infinite GP is:</u>

  • S = a/(1 - r)

<u>By substituting values we get:</u>

  • S = x/(1 - 1/4) = x / (3/4) = 4x/3
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