More practice with explicit equations for patterns:
For the patterns: #14, 15 and 17 on http://www.visualpatterns.org/,
For at least one pattern find a second version of the formula, and expain it too.
Read the middle school students formulas for pattern #5, and try to understand how they got each formula. It's Pattern Talk #4 at http://www.mathtalks.net/pt-1-4.html
Here are the patterns copied so you can print them from here if that's helpful:
#14
#15
#17
#5