The first is the more analogical spelling, as in concede

To follow in order; to take the place which another has left; as, the king’s eldest son succeeds his father on the throne. John Adams succeeded Gen. Washington in the presidency of the United States. Lewis XVIII of France has lately deceased, and is succeeded by his brother Charles X.

To follow; to come after; to be subsequent or consequent. Those destructive effects succeeded the curse.&

To prosper; to make successful. Succeed my wish, and second my design.