First and foremost, join a swimming club. You will be able to find your local one on this website: http://www.swimming.org/poolfinder. Before you even start competing, you need to learn correct competitive technique for starts, turns, strokes and finishes. A good coach at a club will guide you along the way and it'll be impossible without one. Train hard at club and listen to what your coach says. Improve your technique and start building up your endurance and speed.
Once you're at a decent level, you'll be able to enter local association galas and competitions which will be done through your swimming club. All I can say at this level is work hard and stay committed.
You'll need to swim fast enough to qualify for your county championships. Then you need to qualify for your regional championships before moving onto nationals. Once you're at nationals, you need to impress as it would be helpful to make it on the national talent squad if you're serious about the Olympics. In 2016 or the year of whichever Olympics you want to compete in, there will be Olympic trials in around March/April. Firstly, you need to swim fast enough to qualify for the trials. Then at the trials, you need to make top 8 in your event to get into the final. You then need to finish 1st or 2nd in the final as well as achieving a 'FINA A' (Olympic qualifying) time to go to the Olympics. The only way to do all this is serious dedication and training.
Now for the not so good news. If you haven't even joined a club yet, being 'like Rebecca Adlington' is highly unlikely unless you have some INCREDIBLE raw talent. It depends on your age, though. If you're around 8-11 years old and get training now, there's a chance. If you're 12, 13 or any older, sorry, it really is unlikely! I don't want to sound mean or crush your dreams but I'm just trying to be realistic. So many people say they want to be in the Olympics without actually realising quite how hard work that is. You have to give up your entire life for the sport. Friends, social life, even education have to come second to your training. An average Olympian will swim twice daily except Sunday for 2-3 hours each time plus cardio and weights in the gym.
You have to realise that you're way behind the future Olympians already. They've been swimming at clubs since they were 5 or 6 years old and are already national champions, have swam in junior European or World Championships or are on national talent squads. They already do the intense training and their entire lives are focused on making the Olympics. There are tens of thousands of athletes already in British Swimming and there are 52 spots on the Olympic squad every 4 years. The likelihood of becoming an Olympian is 0.0005% for each swimmer.
Even though it's highly unlikely that you'll make the Olympics, don't let that stop you from getting involved in swimming. It's an amazing sport to be part of and my life wouldn't be the same without it. I've been swimming competitively most of my life. Join up to a club, get training and who knows where you could get with dedication and hard work! I'd love for you to reach your dream of the Olympics and if you get there, that would be amazing! Good luck!
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Gleek gives a good answer above.
You do not mention your current swimming level, so I'm assuming you are a beginner. Starting out in a YMCA or local swim club is the way to begin. From there, your talent and desire will dictate how far you can go.
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Swim.
Gleek gives a good answer above.
give up. if you havent even started its too late. dont even believe in yourself. Im in nationals right now top 5 in US :) but you should give up.
So I really want to be a swimmer like rebecca adlington, I want to swim in the Olympics but firstly how do I start....