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Please help me in math​

Please help me in math​-example-1

1 Answer

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Answer:

  • 4x/3

Explanation:

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

  • x/4, x/16, x/64, ...

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

Sum of infinite GP is:

  • S = a/(1 - r)

By substituting values we get:

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