The radius grows as a geometric series
1000+800+640+...
where
a = 1000
r = 0.8
Since 1000/(1-0.8) = 5000, the sum will never get to 6000
A radioactive substance is leaking from an underground storage tank. It spread 1000 meters from the source during the first year, 800 meters the second year, 640 meters the third year ( hint think concentric circles). a) If the pattern continues, how far from the center will it have spread by the end of the year? b) Using formulas to prove your answer, determine whether the radioactive substance ever reaches a river 6000 meters from the source
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