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Great-Uncle Alfred's Letter Sequence

Puzzling Asked on May 10, 2021

My Great-Uncle Alfred loves sequences and likes to test me with them whenever I visit.
The other day, with a flourish, "Voilà!", he presented me a piece of paper with the following sequence,

UI, AI, EEI, EUI, EEI, AEI, ?

"What comes next?" he asked.

"I’m not sure", I replied, "but I would guess it probably ends with the letter I".

"Wrong!", he exclaimed, with a cackle.

Can you tell what comes next in the sequence?

One Answer

Next comes:

Why? Because these are:

The hint is:

Correct answer by Stiv on May 10, 2021

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