Acomputer game eliminates half of its players in every round. if the computer game started with 2,300 players, which function models the number of players eliminated in each round

         We have 2,300 players at the start of the computer game. The game eliminates 1/2 of the players in every round.
        So after the first round we have: 2,300 * 1/2 = 1,150 players left. And after the 2nd round: 2,300 * 1/2 * 1/2 = 2,300 * (1/2)^2 and so on.
       And the function of the players eliminated in each round:
       f ( n ) = 2,300 *  ( (1/2)^1 + (1/2)^2 + + ( 1/2 )^n )
       where n is the number of the round.
       The second part is the sum of the geometric sequence:
       a 1 = 1/2,  q = 1/2:
       S n = 1/2 * (( 1/2)^n - 1 )/ ( 1/2  - 1 ) = - ( ( 1/2)^n - 1 ) =
       = 1 - (1/2)^n
         f ( n ) = 2,300 * ( 1 - (1/2)^n ).
      

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