SOLUTION: After a long period of heavy rain, water seeps into an underground cave. After a day there are 5000 liters of water in the cave. The next day 4000 liters of water seeps into the ca

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Question 926341: After a long period of heavy rain, water seeps into an underground cave. After a day there are 5000 liters of water in the cave. The next day 4000 liters of water seeps into the cave. The day after, 3200 liters of water seeps into the cave, and so on.
A) How much water seeps into the cave on the 5th day?
B) How much water in total has seeped into the cave after 5 days?
C) How long before 20,000 liters of water in total have seeped into the cave?
D) if the water keeps seeping into the cave indefinitely, and none is lost, how much water will be in the cave eventually?

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Geometric sequence, r=0.8. You are interested in SUM for a geometric sequence.


5000, 4000, 3200, 2560, 2048, 1638.4, 1310.72,...


A) 2048 seeped during fifth day

B) 16808 total water seeped after fifth day