A tank is filled with 10 litres of water. Half the water is removed and replaced with

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A tank is filled with 10 litres of water. Half the water is removed and replaced with anti-freeze and then thoroughly mixed. Half this mixture is then removed and replaced with anti-freeze. The process continues.

a. Find the first five terms in the sequence of amounts of water in the tank at each stage.

b. Find the first five terms in the sequence of amounts of anti-freeze in the tank at each stage.

c. Is either of these sequences geometric? Explain.

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