Because I've noticed quite a bit of confusion on what exactly each of these technologies accomplishes (AJAX, jQuery, and JSON), I decided to create a post quickly identifying what each technology "does." Afterwards, I provide links to descriptive pages for each on wikipedia for those who want further information.
Asynchronus
JavaScript
And
XML (AJAX) creates a separate server request for updating a portion of the browser window without requiring the user to refresh the page.
jQuery is a JavaScript library that, largely, focuses on retrieving or interacting with DOM elements.
Java
Script
Object
Notation (JSON) is a data format similar to XML, HTML, or any other data format that you can think of. It's not truly a 'technology' in and of itself, but a method of exchanging data between systems.
Thus, you would use jQuery to retrieve a particular segment of your page (maybe a rotating advertisemet banner) so that you could store it in a variable. You would use AJAX to make a server request for the next advertisement and the object would be returned to your script in JSON format.
I hope this helps to clarify the role of each of these technologies in your web project.
And here's the wiki links:
AJAX wikijQuery wikiJSON wiki