Question

Write a static method called printSequenceTo that takes a target value as a parameter and then prints terms from a particular numerical sequence until they add up to a value greater than or equal to the target and that returns the number of terms that were included. For example, if the following calls are made:

int n1 = printSequenceTo(3.0);
int n2 = printSequenceTo(5.5);

The following output should be produced:

1/2 + 2/3 + 3/4 + 4/5 + 5/6 = 3.5500000000000003
1/2 + 2/3 + 3/4 + 4/5 + 5/6 + 6/7 + 7/8 + 8/9 = 6.171031746031746

The variable n1 is set to 5 because it took 5 terms from the sequence to get a sum that is at least 3.0. The variable n2 would be set to 8 because it took 8 terms to get a sum that is at least 5.5. You are to exactly reproduce the format of this output. Notice that the sum is not rounded.

Answer 1

Java Code:

class Main {

public static int printSequenceTo(double n)

{

int count = 1;

double sum = ((double)count/(count+1));

System.out.print(count + "/" + (count+1));

while(sum < n)

{

count++;

sum += ((double)count/(count+1));

System.out.print(" + " + count + "/" + (count+1));

}

System.out.println(" = " + sum);

return count;

}

public static void main(String[] args) {

int n1 = printSequenceTo(3.0);

System.out.println("Sequence took " + n1 + " terms");

int n2 = printSequenceTo(5.5);

System.out.println("Sequence took " + n2 + " terms");

}

}

OUTPUT: