I eat a lot of applesauce so I doubled it, it works just as well, but below is the original. I used gala apples, but I think any red apple will work well.
4 apples peeled, cored and chopped
3/4 cup water
1/4 white granulated sugar
1/2 tsp ground cinnamon
Combine all ingredients in a saucepan and cover. Cook over medium for 20 minutes or until apples are tender. Remove from heat and mash with potato masher or fork (or if you're like me, a whisk) until at the desired consistency. I like mine a little chunky so I don't mash it long, you can make it smoother if you like.