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      Question

      The side of a square is 16cm. A square is formed by

      joining the mid points of the sides of the square and in the same process, indefinite number of squares are being formed. Then find the sum of areas of all such infinite number of squares?
      A 512 Correct Answer Incorrect Answer
      B 256 Correct Answer Incorrect Answer
      C 128 Correct Answer Incorrect Answer
      D 64 Correct Answer Incorrect Answer

      Solution

      Area of square1 = (16)2 = 256 Area of square2 = (8)2 = 128 Area of square3 = 64 Area of square4 = 32 Series = 256, 128, 64, 32……………………… S  oo  = a/(1-r)=256/(1-(1/2))=(256×2)/1=512

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