All of a sudden, I just got giddy. Anyone else have those 1st edition experiences where when your 7th level character died, the DM made you start over as a 1st level PC? You gained levels at a much faster rate, but the first 4 or 5 levels you were cowering in the back and hoping to get a lucky shot to say you contributed in the combat, and could get a full share of XP.
Now, it's not that far-fetched! It might still be cruel, but you won't stay there for long, AND you might be able to participate on an even keel!
Hmm, let's see how this would actually play out! Let's say you've got a party of four 7th-level veterans and one 1st-level newbie, facing a series of "Challenging" encounters for their level. How many encounters will it take for the newbie to catch up? The milestones:
Encounter #1: The newbie reaches level 2.
Encounter #2: The newbie reaches level 3.
Encounter #6: The newbie reaches level 4.
Encounter #13: The newbie reaches level 5. For the first time, she is within 2 levels of the veterans.
Encounter #21: The veterans reach level 8.
Encounter #26: The newbie reaches level 6.
Encounter #39: The newbie reaches level 7. For the first time, she is within 1 level of the veterans.
(Series of intervening milestones omitted because they're boring. The newbie spends a very, very long time being 1-2 levels behind.)
Encounter #151: The newbie reaches level 14. For the first time, she is on par with the veterans.
Of course, the newbie never *fully* closes the gap; the veterans will always hit the next level before the newbie does.
One thing I do find is that the length of time to close the gap is very sensitive to the size of the initial gap. If the veterans are at level 7, the newbie gets within two levels of them after a mere 13 encounters; but if they're level 8, it takes 35 encounters. At level 10, it takes 95 encounters! Even so, the way 5E scales means that you can have a substantial level gap between PCs and it's not the end of the world.