Fibonacci Series Purpose. The purpose is for you give you a chance to apply recursion. by writing your own recursive solution. Requirements. Write myli'ibonacoi .cpp. which should calculate a value in the "Fibonacci number" series. This series is: D. 1. 1, 2. 3, 5. 8. 13. 21. 34..., where 0 is the zeroth number in the series, 1 is the rst, 1 is the second. and so on. Note that for each number after the opening 0 and 1, the value equals the sum of the two values that precede it. For example. 13 + 21 = 34. So here's what we know: the Fibonacci number for index 0 or 1 equals the index. There are no negative index values -- you can ignore that possibility. The Fibonacci number for any other index equals the sum of the Fibonacci numbers for the index-1 and the index-2. The program should prompt the user for an series index (greater or equal to zero) and print the Fibonacci number corresponding to that index. Program IIO. Input from the console keyboard: one number. a sequence number equal to zero or greater. Output: the Fibonacci number corresponding to the sequence number input. Example. Your program's console IIO should look something like this, with user input in blue: Enter an index [0 or greater]: 6 The Fibonacci number at index 6 is 8