Extrapolation

#include <stdio.h>

int main()
{
    int n,i,j,k;
    int num[100];
    while(1)
    {
        scanf("%d",&n);
        if(n==0) return 0;
        for(i=0; i<n; i++) scanf("%d",&num[i]);
        scanf("%d",&k);
        for (j=n-1; j>0; j--)
        {
            for (i=0; i<j; i++)
            {
                num[i]=num[i+1]-num[i];
            }
        }
        for (i=0; i<k; i++)
        {
            for (j=1; j<n; j++)
            {
                num[j]+=num[j-1];
            }
        }
        printf("Term %d of the sequence is %hd\n", n+k, num[n-1]);
    }
    return 0;
}