I wanted to know what kind of stitch is shown in this picture. Can I make it with a brother sewing machine cs6000i?
The overlock stitch is a combination of a straight stitch and a zigzag. It sews backwards and forwards in a straight line, but between every set of straight stitches, it sews a zigzag. If done correctly, this resembles serging, which is how most store-bought clothes are sewn. (Yesterday's Thimble)
And it looks like there are a few different overlock stitches on the Brother CS6000i! To get that very compressed look as in your example picture, you would want the stitch length to be pretty short in comparison to the width. As always, experiment with a few sample pieces of fabric before you put your final piece through!