C :

#include<stdio.h>

int main()
{
	float a,b,c,d,e,x,x1,x2,x3,x4,x5;
	while(scanf("%f%f%f%f%f",&a,&b,&c,&d,&e)!=EOF&&a!=0&&b!=0&&c!=0&&d!=0&&e!=0)
	{
		if(b-a==c-b&&d-c==c-b&&e-d==d-c)
		{
			x=b-a;
			x1=e+x;
			x2=x1+x;
			x3=x2+x;
			x4=x3+x;
			x5=x4+x;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
		if(b/a==c/b&&d/c==c/b&&e/d==d/c)
		{
			x=b/a;
			x1=e*x;
			x2=x1*x;
			x3=x2*x;
			x4=x3*x;
			x5=x4*x;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
		if(c==a+b&&d==b+c&&e==c+d)
		{
			x1=d+e;
			x2=e+x1;
			x3=x2+x1;
			x4=x3+x2;
			x5=x4+x3;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
	}
	return 0;
}

C++ :

#include<stdio.h>

int main()
{
	float a,b,c,d,e,x,x1,x2,x3,x4,x5;
	while(scanf("%f%f%f%f%f",&a,&b,&c,&d,&e)!=EOF&&a!=0&&b!=0&&c!=0&&d!=0&&e!=0)
	{
		if(b-a==c-b&&d-c==c-b&&e-d==d-c)
		{
			x=b-a;
			x1=e+x;
			x2=x1+x;
			x3=x2+x;
			x4=x3+x;
			x5=x4+x;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
		if(b/a==c/b&&d/c==c/b&&e/d==d/c)
		{
			x=b/a;
			x1=e*x;
			x2=x1*x;
			x3=x2*x;
			x4=x3*x;
			x5=x4*x;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
		if(c==a+b&&d==b+c&&e==c+d)
		{
			x1=d+e;
			x2=e+x1;
			x3=x2+x1;
			x4=x3+x2;
			x5=x4+x3;
			printf("%.f %.f %.f %.f %.f\n",x1,x2,x3,x4,x5);
		}
	}
	return 0;
}

Java :

import java.util.Scanner;

public class Main{
   private static Scanner s = new Scanner(System.in) ;
   
   public static void main(String[] args) {
	  while(true){
		  int a = s.nextInt() ;
		  int b = s.nextInt() ;
		  int c = s.nextInt() ;
		  int d = s.nextInt() ;
		  int e = s.nextInt() ;
		  if(a==0&&b==0&&c==0&&d==0&&e==0){
			  break ;
		  }
		  int sum = 0 ;
		  int sum2 = 0 ;
		  if(f(a, b, c, d, e)==1){
			  sum = e ;
			  for (int i = 0; i < 5; i++) {
				  sum = sum + e - d ; 
				  if(i==4){
					  System.out.println(sum) ;
				  }else {
				
				System.out.print(sum+" ") ;
			}
			  }
		  }else if(f(a, b, c, d, e)==2){
			  sum = e ;
			  for (int i = 0; i < 5; i++) {
				  sum = sum * (e / d) ; 
				  if(i==4){
					  
					  System.out.println(sum) ;
				  }else {
				  
					System.out.print(sum+" ") ;
				}
			  }
			  
		  }else {
			  sum = d ;
			  sum2 = e ;
			  int temp = 0 ;
			  for (int i = 0; i < 5; i++) {
				  temp = sum2 ;
					 sum2 = sum + sum2 ;
					 sum = temp ;
				  if(i==4){
					  System.out.println(sum2) ;
				  }else {
				
				 System.out.print(sum2+" ") ;
		      }
			  }
		  }
		  
	  }
   }
   
   public static int f(int a , int b , int c , int d , int e){
	   if((d-c==c-b)&&(e-d==d-c)&&(c-b==b-a)){
		   return 1 ;
	   }
	   else if(((double)d/c==(double)c/b)&&((double)e/d==(double)d/c)&&((double)c/b==(double)b/a)){
		   return 2 ;
	   }
	   else return 3 ;
   }
}

Python :

# coding=utf-8
a,b,c,d,e=map(int,input().split())
while a!=0 or b!=0 or c!=0 or d!=0 or e!=0:
    if b-a==c-b==d-c:
        print(e+b-a,e+(b-a)*2,e+(b-a)*3,e+(b-a)*4,e+(b-a)*5)
    elif b/a==c/b==d/c:
        print(int(e*b/a),int(e*(b/a)**2),int(e*(b/a)**3),int(e*(b/a)**4),int(e*(b/a)**5))
    else:
        print(d+e,d+2*e,2*d+3*e,3*d+5*e,5*d+8*e)
    a,b,c,d,e=map(int,input().split())