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35) Each side of a square has length 12. The midpoints of the sides of the squares are joined to form another square, and the
35) Each side of a square has length 12. The midpoints of the sides of the squares are joined to form another square, and the midpoints of this square are joined to form still another square. If this process is continued indefinitely, find (a) the sum of the areas of all the squares and (b) the sum of the perimeters. 41) In an arithmetic sequence of complex numbers, 1=1+ 3 and (23+ 4. Find the next three terms. Also find ' 25 and $ 25 43) The formula for the sum of an infinite geometric series given on page 500 holds for complex numbers as well as for real numbers. Use this formula to find the sum of the following series. 3 1+ .. a. 2 & 16 b. 27- 91+ 312- 13+
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