1/1×2+1/2×3+1/3×4+1/4×5+…+1/2008×2009=？

public class Test {
public static void main(String... arg) {
//1/1×2+1/2×3+1/3×4+1/4×5+…+1/2008×2009=？
double sum = 0;
for(int i=1; i<2009; i++) {
sum += ((i+1.0)/i);
}
System.out.println(sum);
}
}

答案是：2016.1823591290288

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