SOLUTION: A large quantity of waste material contains metal,At the successive passes through a recovery process the mass of the metal recovers is .32kg at the first pass .24 kg at the seco

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Question 1141726: A large quantity of waste material contains metal,At the successive passes through a recovery process the mass of the metal recovers is
.32kg at the first pass
.24 kg at the second pass
.18kg at the 3rd pass
.13.5kg at the fourth pass,and so on,to form a geometric sequence
2.3.1 how much metal would be recovered at the eight pass?
2.3.2 find the total mass of metal recovered in the first eight passes
2.3.3 in order to be economical atleast 2.4kg of metal must be recovered in any pass.show that the eleventh pass would be uneconomical

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The common factor is 3%2F4 or 0.75. 
PASS NUMBER    MASS RECLAIMED
   0                
   1                0.32
   2                0.24
   3                0.18
   4                0.135
   5                0.10125     (the rest calculated but not for practical accuracy)
   6                0.0759375
   7                0.056953
   8                0.042714

Amount obtained during the eighth pass: About 0.043 kg.

Total obtained for first eight passes: Find the sum of the first eight passes.