All versions of the F100 make the noise.
The Convergent Exhaust Nozzle Control (CENC) uses 13th stage bleed air from the engine's N2 compressor to drive its dual-helical-gear air-motor, providing rotational power to the Primary Nozzle Actuator. The Primary Nozzle actuator then shares this rotating power through to the other 4 Secondary nozzle actuators (so 5 total). These actuators are driven and interconnected by 'flex-shafts' (like over sized speedometer cables) to turn the rotational energy into linear energy (the actuators are like screw-jacks) to push the nozzle synchronizing ring forward/aft inside the nozzle support assembly. The sync-ring then pushes/pulls on the long links, that turn the convergent lever arms, which push/pull the short links to expand/contract the convergent segments that are hinged inside the nozzle assembly.... and so on and so forth.
So yes, the Pratts all use high-pressure air from the compressor to drive an air-motor driven system to position the nozzle. This varies the exhaust nozzle exit - AKA 'Aj' or Area, jet.
Keep 'em flyin'
TEG
[Airplanes are] near perfect, all they lack is the ability to forgive.
— Richard Collins