#### Sum of Reciprocal Series coderinme

Write a java program that computes the sum of the reciprocals: 1/1 + 1/2 + 1/3 + … + 1/10

Mathematically, This is an an Arithmetic Sequence because we can clearly see that the difference between one term and the next is a constant (difference 2). In General we could write an arithmetic sequence like this:

{a, a+d, a+2d, a+3d, … }

where:

a is the first term, and

d is the difference between the terms (called the “common difference”)

To sum up the terms of this arithmetic sequence:

a + (a+d) + (a+2d) + (a+3d) + …

use this formula:

Sum = n/2 * { 2a + (n-1) * d }

In Java, it is quiet simple:

Program:

```
import java.io.*;
public class Q11
{
public static void main(String[] args)
{
float sum=0;
for(int i=1;i<=10;i++) {
sum=sum+(1.0f/i);
}
System.out.println(" The sum of reciprocal is = :"+sum);
}
}
```

For more programs on Java, visit our Java Archives

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