Compressors, Gas Turbines and Jet Engines
The following is true for an open cycle gas turbine having exhaust heat exchanger. Atmospheric air before entering the compressor is

Compressed air before entering the combustion chamber is heated
Bled gas from turbine is heated and readmitted for complete expansion
Exhaust gases drive the compressor
Heated

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Compressors, Gas Turbines and Jet Engines
Inter-cooling in gas turbine results in

Decrease in both thermal efficiency and net output
Increase in both thermal efficiency and net output
Increase in net output but decrease in thermal efficiency
Increase in thermal efficiency but decrease in net output

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