I just typed this in...
Ahmet acik yuzme havuzundan sorumludur. Havuzun hacmi 1500m³ dur. Her gun havuz suyunun 1/5 u buharlasmaktadir ve cift gunlerde havuza 500m³ su ilave edilmektedir. Ahmet ise basladiktan sonra 25. Gunde havuzda ne kadar su vardir. Ozyineleme kullaniniz.
Running it through Google translate gives a result very similar to the OP...
Ahmet is responsible for the open swimming pool. The volume of the pool is 1500m³. 1/5 of the pool water is evaporated every day and 500m³ of water is added to the pool in double days. On the other hand, how much water is in the pool in the 25th day after Ahmet started. Use decoupling.
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By "double days" I think it probably means "every other day". If so, then I think your f(2) might be wrong. I would assume the extra 500m³ is added at the end of the day, after two lots of evaporation have taken place. Therefore I'd write:-
f(2) = (1500*4/5) * 4/5 + 500
rather than
f(2) = (1500*4/5 + 500) * 4/5 - which assumes the 500 is added at the start of the day