SOLUTION: Infinite geometric series problem!
The sides of a square are each 4 cm long. A second square is drawn by connecting the midpoints of the sides of the first square. A third squar
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The sides of a square are each 4 cm long. A second square is drawn by connecting the midpoints of the sides of the first square. A third squar
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Question 1117490: Infinite geometric series problem!
The sides of a square are each 4 cm long. A second square is drawn by connecting the midpoints of the sides of the first square. A third square is drawing by connecting the midpoints of the sides of the second square.
What is the sum of all the areas of the squares if this process is continued indefinitely?
Use an infinite geometric series.
Here's a crappy example: https://imgur.com/vuLP6IU Answer by ikleyn(52781) (Show Source):
Geometric progression with the first term of = 16 cm^2 and the common ratio of ,
since each next square has the area half of the preceding square.
The sum is equal to = = 16*2 = 32 cm^2.
