fibonacci sequence code in c++ both recursion and iterative way
fibonacci sequence code in c++ both recursion and iterative way
user
Here is a C++ implementation of the Fibonacci Sequence using both recursion and iteration. Each method returns the nth Fibonacci number, where n is the function argument.

```cpp
#include<iostream>

using namespace std;

// Recursive method
int fibonacci_recursive(int n) {
    if(n <= 1)
        return n;
    else
        return fibonacci_recursive(n - 1) + fibonacci_recursive(n - 2);
}

// Iterative method
int fibonacci_iterative(int n) {
    if(n <= 1) {
      return n;
    }

    int fib_n2 = 0, fib_n1 = 1, fib_current;
    for(int i = 2; i <= n; i++) {
        fib_current = fib_n1 + fib_n2;
        fib_n2 = fib_n1;
        fib_n1 = fib_current;
    }

    return fib_current;
}

int main() {
    int n;
    cout << "Enter the value of n: ";
    cin >> n;

    // Compute using the recursive method
    int fib_recursive = fibonacci_recursive(n);
    cout << "Recursive: Fibonacci(" << n << ") = " << fib_recursive << endl;
    
    // Compute using the iterative method
    int fib_iterative = fibonacci_iterative(n);
    cout << "Iterative: Fibonacci(" << n << ") = " << fib_iterative << endl;

    return 0;
}
```

You can compile and run the code using a C++ compiler. This program calculates the nth Fibonacci number using both recursion and iteration, and displays the results.
assistant
fibonacci sequence code in c++ both recursion and iterative way
user
The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting from 0 and 1, the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

Here is a recursive function to calculate the Fibonacci sequence in C++:

```c++
int fib(int n) {
  if (n == 0 || n == 1) {
    return n;
  } else {
    return fib(n - 1) + fib(n - 2);
  }
}
```

Here is an iterative function to calculate the Fibonacci sequence in C++:

```c++
int fib(int n) {
  int a = 0;
  int b = 1;
  for (int i = 2; i <= n; ++i) {
    int c = a + b;
    a = b;
    b = c;
  }
  return a;
}
```
assistant
fibonacci sequence code in c++ both recursion and iterative way
user
Here is a C++ implementation of the Fibonacci Sequence using both recursion and iteration. Each method returns the nth Fibonacci number, where n is the function argument.

```cpp
#include<iostream>

using namespace std;

// Recursive method
int fibonacci_recursive(int n) {
    if(n <= 1)
        return n;
    else
        return fibonacci_recursive(n - 1) + fibonacci_recursive(n - 2);
}

// Iterative method
int fibonacci_iterative(int n) {
    if(n <= 1) {
      return n;
    }

    int fib_n2 = 0, fib_n1 = 1, fib_current;
    for(int i = 2; i <= n; i++) {
        fib_current = fib_n1 + fib_n2;
        fib_n2 = fib_n1;
        fib_n1 = fib_current;
    }

    return fib_current;
}

int main() {
    int n;
    cout << "Enter the value of n: ";
    cin >> n;

    // Compute using the recursive method
    int fib_recursive = fibonacci_recursive(n);
    cout << "Recursive: Fibonacci(" << n << ") = " << fib_recursive << endl;
    
    // Compute using the iterative method
    int fib_iterative = fibonacci_iterative(n);
    cout << "Iterative: Fibonacci(" << n << ") = " << fib_iterative << endl;

    return 0;
}
```

You can compile and run the code using a C++ compiler. This program calculates the nth Fibonacci number using both recursion and iteration, and displays the results.
assistant
<|system|>
 
<|user|>
fibonacci sequence code in c++ both recursion and iterative way 
<|assistant|>
Iterative way

```
#include <iostream>
using namespace std;

int main() {
  int n;
  cout << "Enter a number of terms: ";
  cin >> n;
  
  int t1 = 0, t2 = 1, n1, n2;
  
  for (int I = 1; I <= n; i++) {
    cout << t1 << " ";
  
    n1 = t1;
    n2 = t2;
  
    t1 = n1 + n2;
    t2 = n2 + t1;
  }
  return 0;
}
```

Recursive way

```
#include <iostream>
using namespace std;

int fibonacci(int n) {
  if (n <= 1) {
    return n;
  } else {
    return fibonacci(n-1) + fibonacci(n-2);
  }
}

int main() {
  int n;
  cout << "Enter a number of terms: ";
  cin >> n;
  
  for (int I = 1; I <= n; i++) {
    cout << fibonacci(i) << " ";
  }
  return 0;
}
```
Here is the code for the Fibonacci sequence in C++ using both recursion and iterative methods:

Recursive method:

```
#include <iostream>
using namespace std;

int fibonacci(int n) {
    if (n <= 1) {
        return n;
    } else {
        return fibonacci(n-1) + fibonacci(n-2);
    }
}

int main() {
    int n;
    cout << "Enter the number of terms in the Fibonacci sequence: ";
    cin >> n;
    for (int I = 0; I < n; i++) {
        cout << fibonacci(i) << " ";
    }
    return 0;
}
```

Iterative method:

```
#include <iostream>
using namespace std;

int fibonacci(int n) {
    int a = 0, b = 1, c;
    for (int I = 0; I < n; i++) {
        cout << a << " ";
        c = a + b;
        a = b;
        b = c;
    }
    return 0;
}

int main() {
    int n;
    cout << "Enter the number of terms in the Fibonacci sequence: ";
    cin >> n;
    fibonacci(n);
    return 0;
}
```

In the recursive method, we define a function `fibonacci` that takes an integer `n` as input and returns the `n`th term of the Fibonacci sequence. The base case is when `n` is less than or equal to 1, in which case we return `n`. Otherwise, we recursively call `fibonacci` with `n-1` and `n-2` as arguments and add their results to get the `n`th term.

In the iterative method, we define a function `fibonacci` that takes an integer `n` as input and returns the `n`th term of the Fibonacci sequence. We initialize two variables `a` and `b` to 0 and 1, respectively. We then use a for loop to iterate `n` times and print the value of `a` as the `i`th term of the sequence. We then calculate the next term of the sequence by adding `a` and `b` and updating `a` and `b` accordingly. Finally, we return 0 to indicate successful execution of the program.
Sure, here's the code for the Fibonacci sequence in both recursive and iterative ways in C++:

Recursive way:

```
#include <iostream>
using namespace std;

int fibonacci(int n) {
    if (n <= 1) {
        return n;
    } else {
        return fibonacci(n-1) + fibonacci(n-2);
    }
}

int main() {
    int n;
    cout << "Enter the number of terms in the Fibonacci sequence: ";
    cin >> n;
    for (int I = 0; I < n; i++) {
        cout << fibonacci(i) << " ";
    }
    return 0;
}
```

Iterative way:

```
#include <iostream>
using namespace std;

int fibonacci(int n) {
    int a = 0, b = 1, c;
    for (int I = 2; I <= n; i++) {
        c = a + b;
        a = b;
        b = c;
    }
    return b;
}

int main() {
    int n;
    cout << "Enter the number of terms in the Fibonacci sequence: ";
    cin >> n;
    for (int I = 0; I < n; i++) {
        cout << fibonacci(i) << " ";
    }
    return 0;
}
```

In the recursive way, we define a function `fibonacci` that takes an integer `n` as input and returns the `n`th term of the Fibonacci sequence. The function uses recursion to calculate the value of the `n`th term by adding the values of the `(n-1)`th and `(n-2)`th terms.

In the iterative way, we define a function `fibonacci` that takes an integer `n` as input and returns the `n`th term of the Fibonacci sequence. The function uses a loop to calculate the value of the `n`th term by adding the values of the `(n-1)`th and `(n-2)`th terms.

In both cases, we prompt the user to enter the number of terms in the Fibonacci sequence and then print out the sequence using a loop.