Calculate Sum with Accuaracy

//syssboxx
//Write a program to calculate the sum (with accuracy of 0.001): 1 + 1/2 - 1/3 + 1/4 - 1/5 + ...

using System;

class CalculateSumWithAccurancy
{
    static void Main()
    {
        float nextMember;
        float memberSum = 0;
        float lastMemberSum = memberSum;
        float i = 1;

        //Console.Write("\nThe sum of ");
        do
        {
            nextMember = (1 / i);

            if ((i%2 != 0)&&(i!=1))
            {
                nextMember = nextMember * (-1);
            }

            lastMemberSum = memberSum;
            memberSum += nextMember;
            i++;
            Console.WriteLine("member {0} : {1}", i,nextMember);
           }
        while ((Math.Abs(memberSum - lastMemberSum)) >= 0.001) ;
        Console.WriteLine("The sum is {0}",memberSum);
    }
}