The Fibonacci series: 0, 1, 1, 2, 3, 5, 8, 13, 21, has as its first 2 values, 0 and 1;
LANGUAGE: JAVA
CHALLENGE:
The Fibonacci series: 0, 1, 1, 2, 3, 5, 8, 13, 21, has as its first 2 values, 0 and 1; each successive value if then calculated as the sum of the previous two values.
The first element in the series is the 0’th element , thus the value 8 is element 6 of the series.
The n’th element of the series, written as fib(n), is thus defined as:
• n if n = 0 or n = 1
• fib(n-1) + fib(n-2)
Write the int -valued method fib, that takes a single int parameter (say n), and recursively calculates and then returns the n’th element of the Fibonacci series.
SOLUTION:
public int fib(int number) { if(number == 0){ return 0; } if (number == 1 || number == 2) { return 1; } return fib(number - 1) + fib(number - 2); }