Final answer:
The first occurrence for terrestrial-like worlds was accretion and differentiation, which allowed for the formation of a layered planet and preceded other events such as the solid crust formation and widespread volcanism.
Step-by-step explanation:
The sequence of events for terrestrial-like worlds, specifically Earth, began with the accretion of material, followed by heating and differentiation of the interior. This differentiation was essential in creating a layered planet with a core, mantle, and crust. After this initial stage, the formation of a solid crust occurred, allowing for heavy cratering from impacts. Subsequently, widespread mare-like volcanism shaped the planet's surface. It was only after these stages that phenomena such as mantle solidification and plate tectonics became possible. Therefore, the correct answer to the question is that accretion/differentiation was the first to occur for terrestrial-like worlds.
This is the process through which the molten interior of a planet solidifies and forms a solid mantle. Widespread volcanism occurs next, where lava erupts onto the surface, creating volcanic features like volcanoes and lava flows. Plate tectonics is the third event, which involves the movement and interaction of Earth's crustal plates. Finally, accretion/differentiation occurs, which is the process by which a planet grows and differentiates into its distinct layers.