Hello, Cindy!
I think it will be useful for many to learn the V-stitch pattern better, that's why I decided to make a post with detailed instructions and photos.
V-Stitch Instructions
Start with a multiple of 3 + 7 stitches.
Abbreviations
ch = chain
dc = double crochet
ea = each
rep = repeat
sl st = slip stitch
st = stitch
sk = skip
The V-stitch: To complete each V-stitch, work 1 dc st, 1 ch st, and 1 more dc st in the same chain or space.
Crochet a foundation chain.
Row 1: dc in 4th ch from hook. The last 3 chs count as the 1st dc in the row. Ch 1, skip next ch, [dc in next ch, ch 1, dc in same ch. Skip next 2 chs.] Rep the sequence in brackets across the row. At the end of the row, ch 1, skip 2 chs, then work 1 dc in ea of the next 2 ch sts.
Row 2: the turning chain counts as the first dc in the row. Dc in next dc. Ch 1, work 1 v st in ea v st across the row. Ch 1, skip next ch, work 1 dc in ea of the last 2 dc sts.
Rep row 2 until the piece reaches the desired length. Secure the last stitch and weave in the ends.
Make the Foundation Chain and Begin the First Row
Make a Starting Chain and DC Into the 4th Chain
Start by crocheting the foundation chain.
Yarn over and work a double crochet into the fourth chain stitch from the hook.
Finish the Double Crochet
DC Into the 4th Chain
The first three chains in the row count as one double crochet. With the double crochet you just completed, you have the equivalent of two double crochet stitches at the beginning of the row. This isn't the V-stitch, but it makes a nice edge.
Chain 1.
Start the First V-Stitch
Make a DC for the First Half of the First V Stitch
Skip the next chain, and then work a double crochet stitch into the next chain stitch.
Chain 1.
This is the first half of the V-Stitch and the chain that separates it at the top.
Finish the First V-Stitch
Complete the First V Stitch
Work another double crochet stitch into the same stitch where you worked the last one. This completes the first V-Stitch.
Make the Next V-Stitch
Skip Two Stitches and DC for the Next V Stitch
To work the next V-stitch, yarn over the hook to begin the first double crochet in the v stitch.
Skip the next two chain stitches.
Double crochet. Chain 1.
Double crochet in the same chain stitch, completing the V-stitch.
Crochet in V-Stitch to the End of the Row
Crochet to the End of the Row
Repeat the step above to continue working in this pattern across the row.
When you get to the end of the row, work a chain stitch, then work one double crochet stitch into each of the last two stitches.
This matches the edge at the beginning of the row.
Make the Turning Chain
Work 3 chain stitches for the turning chain.
Turn the work over to crochet the second row, working back across the first row.
Begin the Second Row of V-Stitch
DC at the Beginning of the Row
The turning chain counts as the first double crochet stitch in the row. Work a double crochet stitch into the next double crochet.
Chain 1.
Placing the Hook for the First V-Stitch of the Row
DC Into the V Stitch Gap
Yarn over to begin the first V-stitch.
Each new V-stitch should work into the middle of the V-stitch in the row below.
You should place your hook in the space between the V, rather than into the chain stitch.
Work a V-Stitch
Complete the V Stitch in the Gap
Double crochet in the V-Stitch below. Chain 1.
Work another double crochet to complete the V-stitch.
Continue Working in the V-Stitch Pattern
Continue Working in the Pattern
Continue working a V-stitch into each V-stitch across the row, then end the row as before.
Follow the pattern until the piece is as long as you want it to be.