Write a program in Java to find the sum of the given series:[15]
a) 1 + 1/2 + 1/3 + ... + 1/20
) Generate and display the first 10 terms of the Fibonacci series.
Answers
Answer:
In this program, you'll learn to display the Fibonacci series in Java using for and while loops.
To understand this example, you should have the knowledge of the following Java programming topics:
Java for Loop
Java while and do...while Loop
Display Fibonacci Series
The Fibonacci series is a series where the next term is the sum of the previous two terms. The first two terms of the Fibonacci sequence are 0 followed by 1.
Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34
Suppose, our first two terms are:
firstTerm = 0
secondTerm = 1
The next terms in the Fibonacci series would be calculated as:
nextTerm = firstTerm + secondTerm; (0 + 1)
firstTerm = secondTerm; (1)
secondTerm = nextTerm; (1)
nextTerm = firstTerm + secondTerm; (1 + 1)
....
Let's now apply this logic in our program.
Example: Display Fibonacci Series Using for Loop
class Main {
public static void main(String[] args) {
int n = 10, firstTerm = 0, secondTerm = 1;
System.out.println("Fibonacci Series till " + n + " terms:");
for (int i = 1; i <= n; ++i) {
System.out.print(firstTerm + ", ");
// compute the next term
int nextTerm = firstTerm + secondTerm;
firstTerm = secondTerm;
secondTerm = nextTerm;
}
}
}
Output
Fibonacci Series till 10 terms:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34,
In the above program, firstTerm and secondTerm are initialized with 0 and 1 respectively (first two digits of Fibonacci series).
Here, we have used the for loop to
print the firstTerm of the series
compute nextTerm by adding firstTerm and secondTerm
assign value of secondTerm to firstTerm and nextTerm to secondTerm
We can also use a while loop to generate the Fibonacci series in Java.
Example 2: Display Fibonacci series using while loop
class Main {
public static void main(String[] args) {
int i = 1, n = 10, firstTerm = 0, secondTerm = 1;
System.out.println("Fibonacci Series till " + n + " terms:");
while (i <= n) {
System.out.print(firstTerm + ", ");
int nextTerm = firstTerm + secondTerm;
firstTerm = secondTerm;
secondTerm = nextTerm;
i++;
}
}
}
Output
Fibonacci Series till 10 terms:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34,
The working of this program is the same as the previous program.
And, though both programs are technically correct, it is better to use a for loop in this case. It's because the number of iterations (from 1 to n) is known.
Example 3: Display Fibonacci series up to a given number
class Fibonacci {
public static void main(String[] args) {
int n = 100, firstTerm = 0, secondTerm = 1;
System.out.println("Fibonacci Series Upto " + n + ": ");
while (firstTerm <= n) {
System.out.print(firstTerm + ", ");
int nextTerm = firstTerm + secondTerm;
firstTerm = secondTerm;
secondTerm = nextTerm;
}
}
}
Output
Fibonacci Series Upto 100:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,
In this example, instead of displaying the Fibonacci series of a certain number, we are displaying the series up to the given number (100).
For this, we just need to compare the firstTerm with n. And, if firstTerm is less than n, it is printed in the series. Else, the series is completed.
Answer:
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