A visual analogue supports this: an object illuminated at intervals in the dark is perceived as having continuous colors, not as repeatedly acquiring and losing them.
To develop this line of thought and make it vivid, imagine a vacuum jar which has the property of immediately creating a vacuum upon closing the lid, and of immediately recalling air upon opening the lid. Take now a sounding object like a tuning fork at 440Hz and have it vibrate, supposing that the vibration fades and becomes inaudible after 10 seconds. What you hear is an A that becomes feebler and feebler until it disappears. Now, place the tuning fork inside the jar, have it vibrate as before