Staying Behind!
Azusa and Ui, along with their classmate Jun, spend time together while the third years are on their trip to Kyoto. Noticing that Ui would be lonely without her sister around, Jun and Azusa decide to sleepover at her house, in exchange for Azusa helping out with her underclassmen in the jazz club. After spending the night, they wake up to a rainy day. They go to an arcade where Ui hits a home run in a batting game, before Azusa is reminded that she needs to feed Ton. While in the music room, the three decide to have a jam session together. The other girls return the next day and give Azusa a keychain, one of a set that spells out 'light music club'.
Aired 05/05/2010EP 5 - Staying Behind!

K-ON! Season 2
It is the new year, which means that the senior members of the Light Music Club are now third-years, with Azusa Nakano being the only second-year. The seniors soon realize that Azusa will be the only member left once they graduate and decide to recruit new members. Despite trying many methods of attracting underclassmen—handing out fliers, bringing people into the clubroom, and performing at the welcoming ceremony—there are no signs of anyone that plans to join.
While heading to the clubroom, Azusa overhears Yui Hirasawa say that the club is fine with only five people and that they can do many fun things together. Changing her mind, she decides that they do not need to recruit any members for the time being.
K-On!! revolves around the members of the Light Music Club as they experience their daily high school life. From rehearsing for concerts to just messing around, they are ready to make their last year together an exciting one!
(Source: MAL Rewrite)