What are Macbook Charge Cycles? Okay so i dont know what a cycle is. 

Can you tell me that if I leave my macbook on charge all night, so at our place there our power outages so when my mac will start charging after the power comes back on will 1 cycle increase?
A charge cycle is defined as 1 full discharge and 1 full recharge.   It is defined in the UN Manual of Tests and Criteria, Subsection 38.3:


  Cycle means  one  sequence  of  fully  charging  and  fully 
  discharging  a  rechargeable cell or battery.


This means that if you only discharge your battery 20% and recharge it, you would have do to it 5 times to be a full cycle.  A 50% drain and recharge would have to happen twice to be considered a cycle.  And so on.

So in reference to your question, unless your battery fully drained, you didn't go through a cycle.