My current output doesn't show the calculations and it counts f(n) down from what the user inputs to f(0). How do I get it to count up starting with the base case f(0) to f(n) and also calculate this recursive case formula f(n) = 2 * f(n-1) -3? This is just twisting my brain for some reason, any help greatly appreciated.
An example output that I'm supposed to get with my base case f(0)=5, is: f(0): 5, f(1): 7, f(2): 11, f(3): 19, f(4): 35, f(5): 67, f(6): 131, f(7): 259, f(8): 515
#include <iostream>
using namespace std;
int f(int n);
int main (){
int number;
cout << "Enter a number greater than or equal to 0: ";
cin >> number;
while(number<0){
cout << "Please enter a valid number!" << endl;
cout << "Enter a number greater than or equal to 0: ";
cin >> number;
}
f(number);
}
int f(int n){
//Base Case
if (n==0){
cout << "f(" << n << "): " << 5 << endl;
}
//Recursive case
else{
cout << "f(" << n << "): " << endl;
2 * f(n-1)-3;
}
}