Had this scheme worked as the designers expected, the interests of large States and small States would have been reconciled, since in effect the large States would name the candidates and, "nineteen times in twenty," the small States would choose from among them.
Apparently the question of a third term was never considered by the delegates in the Convention.

The chief problem before them was the method of election.

If the President was to be chosen by the legislature, he should not be eligible to reelection.

On the other hand, if there was to be some form of popular election, an opportunity for reelection was thought to be a desirable incentive to good behavior.

Six or seven years was taken as an acceptable length for a single term and four years a convenient tenure if reelection was permitted.