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How can increase my rating at a fast pace?

Fast pace is superficial. It has no depth.

Through your pieces in the air and see who wins. Is that fast enough for you? Too slow, my pieces landed on the floor before yours. The higher you through them in the air the long it takes for them to drop. So find a happy medium for each time control.
I have 1300 ranking in rapids,and 1000 on bullet and ultrabullet.But I don't now how to increase my lichess ranking.
If you take more time than your opponent you are covering more ground. Which should make you win more games at a faster pace. If you play faster than your opponent you are covering less ground than your opponent and it will take longer for your rating to increase.

It's like running with the head down and running with the head up. Seeing everything is better than seeing your feet move. It gives you more tempos to react.
It's kind of sad how many users have increasing their rating as their primary interest, rather than aiming to improve their play.
A pace of one game per year is longer than a pace of one game per day. So the one game per day will increase your rating faster than the one game per year. LOL

That's how anyone can increase their rating at a fast pace !! End of Story.... lol (Pressing the UNSUBSCRIBE)
getting better at blitz won't make you a better chess player. Play slower time controls and you will get better at both slow and fast tc's. Also you can't really improve at a super fast pace. Take your time. If you don't have dedication you won't improve.
When I was around 1500 Rapid rating, I encountered a plateau that lasted for several months. Then, I received some tips from some people I met at OTB tournaments. That was when I started playing Blitz for the first time, and it felt like hell at first. I was so accustomed to playing 10+0 games, but suddenly I had to play twice as fast. However, something clicked, and my Rapid rating jumped from the mid-1500s to the mid-1600s in less than a month after I began playing Blitz.

I believe that, at that time, my biggest weakness in Rapid games was the inability to quickly find a 'safe' move. When no tactics were available, and I had to make a move anyway, my brain might have been overly focused on searching for tactics, so I wasn’t used to simply 'pushing' pawns and pieces around.

This doesn’t mean I endorse playing Blitz or Bullet exclusively. Rather, my advice is to try and identify your biggest weakness at the moment. In my experience, a quick jump in rating will come after you address those issues effectively.