You wouldn't go to Maui and surf the big kahuna waves if you've never surfed before, so you shouldn't go to a ski area and go straight to the double-black-diamond runs. Adults don't like learning new sports as it can be a major hit to the ego, and skiing isn't any different. Watching as advanced skiers head to the extreme terrain as you head to a green, can be tough, but it's worth it. Green (beginner) runs are flatter, shorter, groomed, and not as steep so there are less obstacles and factors to screw up learning. When starting out, look to see if your resort has a magic carpet or poma lift so that you can build up to a chairlift. Really honing your technique before you head to a blue (intermediate) will only make you a better skier overall.
Editor's Hint: Although you should aim for a flat run to start off with, you'll need to get some speed to progress. Look for a balance between the two.