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A Martian Mushroom starts off as a square.
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| Submitted: Fri Sep 12 2003
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STATEMENT OF PROBLEM A Martian Mushroom starts off as a square. The next day it grows so that a new square half the length of the original square is added to each side. Then the next day each of these squares increases by a new square half the length of yesterdays. I am going to investigate the formula for the growth in area of a martian mushroom. I will begin by drawing the diagrams for the first four days of growth. Day 1 Area = 162 Area = 256cm2 Day 2 Area = 162 + 4(82) Area = 256 + 256 Area = 512cm2 Day 3 Area = 162 + 4(82) + 4(42) Area = 256 + 256 + 64 Area = 576cm2 Day 4 Area = 162 + 4(82) + 4(42) + 4(22) Area = 256 + 256 + 64 + 16 Area = 592cm2 I am now going to have a look at the areas to see if there is...
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