Final answer:
The word 'eventually' in the given sentence is a transition word that helps guide readers through the text by indicating a sequence of events. The correct answer is option: transition.
Step-by-step explanation:
In the sentence "Eventually, the group members decided to exchange ideas so they could find the best solution to their problem," the word "eventually" functions as a transition word. Transition words are used to guide readers through a text by establishing logical connections between ideas, indicating a sequence in events or thoughts.
Examples of transition words include 'first,' 'second,' 'third,' 'next,' 'then,' 'soon,' 'meanwhile,' 'later,' and 'finally,' which all help to indicate the order in which things happen or should be considered.