The adverb is "there." What verb do you think it describes?
verb=stood
The verb is "stood." It is describing "there," thus he "stood there."
In the sentence "Jason walked to the table and stood there," the adverb is "there" and it describes the verb "stood." To identify the adverb, we look for a word that modifies or describes a verb, adjective, or another adverb. In this case, "there" is modifying the verb "stood" by indicating where Jason stood.