I've had my new bike for a week now and have cycled to and from work every day. But I know I'm doing something badly wrong with the gears. This is the first time I've had gears so feel free to talk to me like I'm an idiot.
My bike is supposed to have 18 gears. On the left handle it's 1-3, then on the right it's 1-6. My journey comprises uphill, downhill and flat. When I try to change the gears the tension immediately goes slack and it's as if the chain is broken. It seems to sort itself out again.
Also, it doesn't seem to want to go into the high gears.
The bike is new and the gears are Shimano so I think it's most likely to be operator error. 
I've been trying all sorts of different gear combinations every day and I'm getting frustrated now. I end up pushing it up even the mildest hills. Any ideas?