Question

You are invited to come down and have a dinner with us
Use appropriate modal auxiliary and rewrite the sentence

Answer 1

Here is your answer:

The most appropriate modal that can be used in this context is 'would'. So the sentence can be rewritten as shown below:

Would you come down and have dinner with us?

or

Would you like to come down and have dinner with us?

Explanation

Modal 'would' is used in polite offers and invitations.