Remove a contact based on user input

static void Main(string[] args)
        {         
            //Declare the list

            List<Contact> contactList = new List<Contact>();
                       
            //Main Driver
            char menuItem;
             Console.WriteLine("Contact List\n");
            menuItem = GetMenuItem();
            while (menuItem != 'Q')
            {

                ProcessMenuItem(menuItem, contactList);
                menuItem = GetMenuItem();

            }
            Console.WriteLine("\nThank you, goodbye");
            Console.ReadLine();
        }
        //Returns either a 'C', 'R', 'U', 'D', 'L', or 'X' to the caller
        static char GetMenuItem()
        {
            char menuItem;
            DisplayMenu();
            menuItem = char.ToUpper(IOConsole.GetChar("\nPlease pick an item: "));
            while (menuItem != 'C'
                && menuItem != 'R' && menuItem != 'Q' && menuItem != 'U' && menuItem != 'D' && menuItem != 'S' && menuItem != 'L' && menuItem != 'F' && menuItem != 'P' && menuItem != 'T')
            {
                Console.WriteLine("\nError - Invalid menu item");
                DisplayMenu();
                menuItem = char.ToUpper(IOConsole.GetChar("\nEnter option or M for menu:"));
            }
            return menuItem;
        }

        static void DisplayMenu()
        {
           Console.WriteLine("C-> Create Contacts");
           Console.WriteLine("R-> Remove Contacts");
           Console.WriteLine("U-> Update Contacts");
           Console.WriteLine("D -> Load data from file");
           Console.WriteLine("S-> Save data to file");
           Console.WriteLine("L-> View sorted by last name");
           Console.WriteLine("F-> View sorted by first name");
           Console.WriteLine("P-> View by partial name search");
           Console.WriteLine("T-> View by contact type");
           Console.WriteLine("Q-> Quit");
        }

        //Routes to the appropriate process routine based on the user menu choice
        static void ProcessMenuItem(Char menuItem, List<Contact> contactList)
        {
            switch (menuItem)
            {
                case 'C':
                    createContact();
                    break;
                case 'R':
                    removeContact(contactList);
                    break;
                case 'U':
                    updateContact(contactList);
                    break;
                case 'D':
                    LoadFromFile();
                    break;
                case 'S':
                    saveToFile();
                    break;
                    
                case 'L':
                    sortByLastName(contactList);
                    break;
                case 'F':
                    sortByFirstName(contactList);
                       break;
                case 'P':
                       DisplayList(contactList);
                       break;
                case 'T':
                       sortByContactType();
                       break;
                case 'Q':
                       
                       break;

            }                   
        }
//allows the user to remove a contact
         public static void removeContact(List<Contact> contactList) 
         {

             for (int i = 0; i < contactList.Count; i++)
               if (i % 5 == 0)
             contactList.RemoveAt(i);
                          
        }