How can the current be same in resistance connected in series The current should decapitate in the form of heat while passing it and as it is a resistor it will reduce the current so why should we consider while deriving R_{eff=R1+R2...R}_{n in case of series connection}

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Solution

Current is the flow of charge.The current will not dissipated .The power dissipation is due to voltage drop.not because of current.
While the resister are connected in series which make a single path for electrons to flow.while electron flows it collide with ion which causes resistance ,this causes voltage drop and lead to the power dissipation.

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How can the current be same in resistance connected in series The current should decapitate in the form of heat while passing it and as it is a resistor it will reduce the current so why should we consider while deriving Reff=R1+R2...Rn in case of series connection

How can the current be same in resistance connected in series The current should decapitate in the form of heat while passing it and as it is a resistor it will reduce the current so why should we consider while deriving R_{eff=R1+R2...R}_{n in case of series connection}