Here are some examples:
* "The immediately preceding chapter discussed the history of the conflict." This means the previous chapter, without anything else coming in between, talked about the conflict's history.
* "The immediately preceding sentence contained the key information." This means the sentence right before this one was crucial to understanding the topic.
* "The immediately preceding week saw a surge in new cases." This means the week before the current one had an increase in cases.
In short, "immediately preceding" signifies a direct, unbroken connection in time or order.