Read the excerpt from the odyssey. at this he gave a mighty sob and rumbled: 'now comes the weird upon me, spoken of old. a wizard, grand and wondrous, lived here—telemus, a son of euryinus; great length of days he had in wizardry among the cyclopes, and these things he foretold for time to come: my great eye lost, and at odysseus' hands. always i had in mind some giant, armed in giant force, would come against me here. but this, but you—small, pitiful and twiggy— you put me down with wine, you blinded me. come back, odysseus, and i'll treat you well, praying the god of earthquake to befriend you— his son i am, for he by his avowal fathered me, and if he will, he may heal me of this black wound—he and no other of all the happy gods or mortal men.’
why does the cyclops invite odysseus back to the island?

He wants to obey the Greek custom of providing food and shelter to guests.

According to the Cyclops' words, he wants to obey the Greek custom of providing food and shelter to guests. He tells Odysseus to come back and says, "I'll treat you well, praying the god of earthquake to befriend you". He realizes that he has made a mistake by treating Odysseus without any hospitality. He knew that a man named Odysseus would take out his eye one day, but he expected the person named Odysseus to be a giant. It seems as though he feels guilty for not obeying the Greek customs, and his blind eye is the consequence. It seems as though he hopes a second chance at providing food and shelter to guests might endear him to his father and get his father to heal him.

the answer is:

apprehensive.

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