How to write program 1/2+2/3+3/4------n terms

 1/2+2/3+3/4------n terms

// always focus on first term  then see the difference in first and second term

Normal way

double a=1.0, b=2.0,sum=0.0;

int n=10  // n value you can take any thing

for(int i=1;i<=n;i++)

{

sum=sum+ a/b;

a++;

b++;

}

System.out.println(sum);

Short cut way

double sum=0.0;

int n=10  // n value you can take any thing

for(int i=1;i<=n;i++)

{

sum=sum+ i/(i+1);

}

System.out.println(sum);