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The following suggestions are from MathWire.com:

In case you need some ideas to get started, the following are samples of growing pattern problems created by ED 556 students at Monmouth University in West Long Branch, NJ during the Fall 2004 session. In each case, students should draw and/or describe the next couple of stages in the pattern and create an input/output table to describe the relationship between the stage and the number of blocks used. Students should be challenged to write a rule in words and more capable students should be challenged to write a general mathematical rule that would calculate the number of blocks needed for any given stage.
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Visit this site for lessons on growing patterns: http://illuminations.nctm.org/LessonDetail.aspx?ID=L304
Visit this site for a lesson idea on repeating patterns :