Ytdyklly

example of code

#include <iostream>

using namespace std;

//whitespace package

#include <iomanip>

#include <math.h>

using std::setw;



int main () {



    // n is an array of 101 integers

    long double n[ 101 ];

    double exponent=3;

    double fraction=1.0/7;



    // initialize elements of array n to 0

    for ( int i = 1; i < 100; i++ ) {

        n[ i ] =  0;

    }



    //what is input 1?

    cout << "Enter x_1" << endl;

    cin >> n[1];



    //jam ni's into function and loop

    for ( int i = 1; i < 100; i++ ) {



    // set element at location i+1 to f(x)= (fraction)*((x)^exponent + 2)

    n[ i + 1 ] =  fraction*(pow( ((n[ i ]) ), exponent ) + 2);

    }



    //header

    cout << "Element" << setw( 13 ) << "Value" << endl;



    // output each array element's value

    for ( int j = 1; j < 100; j++ ) {

        cout << setw( 7 )<< j << setw( 13 ) << n[ j ] << endl;

    }



    return 0;

}

output

Element        Value

      1            1

      2            0.42857142857

      3            0.29695960016

      4            0.2894553405

      5            0.28917883433

      6            0.28916891514

      7            0.28916855966

...

background: I'm trying to write a simple program that asks what your $x_1$ is and reports $x_1$ to $x_{100}$ given some series function calculator--like a sequence calculator where $x_{n+1} = f(x_n)$. In this example, our function is (1/7)*((x)^3 + 2).

Can you all offer some resources for writing other functions? I have $x_{n+1}=f(x_n)=(1/7)*((x_n^3)+2)$ right now.

Whenever I look up c++ math functions I get things like how to use the absolute value function, or how to use my cpp file as a function itself, but not information on writing math functions like this.