{"id":9983,"date":"2023-10-20T12:29:15","date_gmt":"2023-10-20T12:29:15","guid":{"rendered":"https:\/\/adelnasim.com\/docs\/courses\/cpp-tutorial\/function-part-7-recursion-2\/"},"modified":"2024-04-07T01:19:31","modified_gmt":"2024-04-07T01:19:31","slug":"function-part-7-recursion-part-2","status":"publish","type":"docs","link":"https:\/\/adelnasim.com\/ar\/docs\/courses\/cpp-tutorial\/function-part-7-recursion-part-2\/","title":{"rendered":"\u0627\u0644\u062f\u0651\u0627\u0644\u0651\u0629 (7) - Recursion 2"},"content":{"rendered":"

\u0645\u062b\u0627\u0644 1:<\/strong><\/p>\n

#include <iostream>\r\nusing namespace std;\r\nint sum(int n)\r\n{\r\n    if (n == 1)\r\n        return 1;\r\n    else\r\n        return n + sum(n - 1);\r\n}\r\n\r\nint main()\r\n{\r\n    cout << sum(5) << endl;\r\n    return 0;\r\n}\r\n<\/pre>\n
\u0647\u0630\u0647 \u0627\u0644\u062f\u0627\u0644\u0629 \u062a\u062d\u0633\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0623\u0648\u0644 n<\/code> . \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 n<\/code> \u0647\u064a \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0645\u0646 1 \u0644\u0640 n<\/code>.<\/p>\n
\u062a\u0639\u0645\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0646\u0641\u0633\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0644\u062d\u0633\u0627\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 n - 1<\/code> . \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u062f\u062e\u0644 n<\/code> \u0647\u0648 1\u060c \u062a\u0642\u0648\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0628\u0633\u0627\u0637\u0629 \u0628\u0625\u0631\u062c\u0627\u0639 \u0627\u0644\u0631\u0642\u0645 1\u060c \u0644\u0623\u0646 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0623\u0648\u0644 \u0647\u0648 1. \u0648\u0628\u062e\u0644\u0627\u0641 \u0630\u0644\u0643\u060c \u062a\u0642\u0648\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0628\u0625\u0631\u062c\u0627\u0639 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0645\u062f\u062e\u0644 n<\/code> \u0648\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 n - 1<\/code> .<\/p>\n
\u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a:<\/p>\n
15<\/pre>\n
\u0645\u062b\u0627\u0644 2:<\/strong><\/p>\n
#include <iostream>\r\nusing namespace std;\r\nint sum(int x, int y)\r\n{\r\n    if (x == y)\r\n        return x;\r\n    else\r\n        return y + sum(x, y - 1);\r\n}\r\n\r\nint main()\r\n{\r\n    cout << sum(4, 6) << endl;\r\n    return 0;\r\n}<\/pre>\n
\u0647\u0630\u0647 \u062f\u0627\u0644\u0629 recursive sum<\/code>\u062a\u0623\u062e\u0630 \u0645\u062a\u063a\u064a\u0631\u064a\u0646 \u0635\u062d\u064a\u062d\u064a\u0646 \u0643\u0640 parameters x<\/code> \u0648 y<\/code>\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0645\u062b\u0644 \u0646\u0637\u0627\u0642 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u062c\u0645\u0639\u0647\u0627. \u0625\u0644\u064a\u0643 \u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u0627\u0644\u062f\u0627\u0644\u0629:<\/p>\n
    \n
  • \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629: \u0625\u0630\u0627 \u0643\u0627\u0646\u062a x<\/code> \u062a\u0633\u0627\u0648\u064a y<\/code>\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u0648\u0635\u0644\u0646\u0627 \u0625\u0644\u0649 \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0640 range\u060c \u0641\u0633\u0648\u0641 \u064a\u0631\u062c\u0639 x<\/code>. \u0647\u0630\u0627 \u0647\u0648 \u0634\u0631\u0637 \u0625\u0646\u0647\u0627\u0621 \u0627\u0644recursion.<\/li>\n
  • \u062d\u0627\u0644\u0629 \u0627\u0644\u0640 recursive: \u0625\u0630\u0627 \u0643\u0627\u0646\u062a x<\/code> \u0644\u0627 \u062a\u0633\u0627\u0648\u064a y<\/code>\u060c \u0641\u0633\u062a\u0636\u0627\u0641 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u0644\u0640 y<\/code> \u0625\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 sum<\/code> \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0645\u0639 \u0646\u0641\u0633 x<\/code> \u0648 y-1<\/code>. \u064a\u0624\u062f\u064a \u0647\u0630\u0627 \u0628\u0634\u0643\u0644 \u0641\u0639\u0627\u0644 \u0625\u0644\u0649 \u062a\u0642\u0633\u064a\u0645 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0640 range \u0625\u0644\u0649 \u0645\u0634\u0627\u0643\u0644 \u0641\u0631\u0639\u064a\u0629 \u0623\u0635\u063a\u0631 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u062d\u062f \u0627\u0644\u0639\u0644\u0648\u064a (y<\/code>\u0628\u0645\u0642\u062f\u0627\u0631 1 \u0641\u064a \u0643\u0644 \u0645\u0631\u0629 \u064a\u062a\u0645 \u0625\u0633\u062a\u062f\u0639\u0627\u0621 \u062f\u0627\u0644\u0629 \u0627\u0644\u0640 recursive.<\/li>\n<\/ul>\n
    \u0641\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u0629 main<\/code> \u060c \u064a\u062a\u0645 \u0625\u0633\u062a\u062f\u0639\u0627\u0621 \u0627\u0644\u062f\u0627\u0644\u0629 sum<\/code> \u0645\u0639 \u0627\u0644\u0640 (arguments) 4<\/code> \u0648 6<\/code> \u062b\u0645 \u064a\u0642\u0648\u0645 \u0628\u0625\u062e\u0631\u0627\u062c \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0625\u0644\u0649\u0634\u0627\u0634\u0629 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 cout<\/code>. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0633\u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0645\u0646 4 \u0625\u0644\u0649 6 \u0648\u0637\u0628\u0627\u0639\u0629 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/p>\n
    \u0639\u0646\u062f \u062a\u0634\u063a\u064a\u0644 \u0647\u0630\u0627 \u0627\u0644\u0643\u0648\u062f\u060c \u0641\u0625\u0646\u0647 \u0633\u064a\u062e\u0631\u062c \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0645\u0646 4 \u0625\u0644\u0649 6\u060c \u0648\u0647\u0648 4 + 5 + 6 = 15. \u0625\u0630\u0646\u060c \u0633\u064a\u0643\u0648\u0646 \u0646\u0627\u062a\u062c \u0647\u0630\u0627 \u0627\u0644\u0643\u0648\u062f:<\/p>\n
    15<\/pre>\n
    \n
    \n
    \n
    \n
    \n
    \n
    \n
    \n
    \n
    \n
    \u0645\u062b\u0627\u0644 3:<\/strong><\/p>\n
    #include <iostream>\r\n\r\nusing namespace std;\r\n\r\nvoid f(int n)\r\n{\r\n    if (n < 0)\r\n        return;\r\n    else\r\n        for (size_t i = 0; i < n; i++)\r\n        {\r\n            cout << \"*\";\r\n        }\r\n    cout << endl;\r\n\r\n    f(n - 1);\r\n}\r\n\r\nint main()\r\n{\r\n\r\n    f(5);\r\n\r\n    return 0;\r\n\r\n}<\/pre>\n
    \u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u0634\u0631\u062d \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0643\u064a\u0641\u064a\u0629 \u0639\u0645\u0644 \u0627\u0644\u0643\u0648\u062f:<\/p>\n
      \n
    1. \u062a\u0623\u062e\u0630 \u0627\u0644\u062f\u0627\u0644\u0629 f \u0639\u062f\u062f\u064b\u0627 \u0635\u062d\u064a\u062d\u064b\u0627 n \u0643\u0640 argument.<\/li>\n
    2. \u064a\u0628\u062f\u0623 \u0628\u0628\u064a\u0627\u0646 \u0634\u0631\u0637\u064a:<\/li>\n
    3. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a n \u0623\u0642\u0644 \u0645\u0646 0\u060c \u0641\u0625\u0646\u0647\u0627 \u062a\u0631\u062c\u0639 \u0645\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0641\u0648\u0631. \u064a\u0639\u062f \u0647\u0630\u0627 \u0628\u0645\u062b\u0627\u0628\u0629 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0640 recursive\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0646\u0647\u0627\u064a\u062a\u0647\u0627 \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629.<\/li>\n
    4. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a n \u0623\u0643\u0628\u0631 \u0645\u0646 \u0623\u0648 \u062a\u0633\u0627\u0648\u064a 0\u060c \u062a\u062f\u062e\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u062c\u0645\u0648\u0639\u0629 \u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0628\u0631\u0645\u062c\u064a\u0629 \u0623\u062e\u0631\u0649 \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u062d\u0644\u0642\u0629 for.<\/li>\n
    5. \u064a\u0648\u062c\u062f \u062f\u0627\u062e\u0644 \u062d\u0644\u0642\u0629 for \u0645\u062a\u063a\u064a\u0631 i \u0645\u0646 \u0627\u0644\u0646\u0648\u0639 size_t \u062a\u0645\u062a \u062a\u0647\u064a\u0626\u062a\u0647 \u0625\u0644\u0649 0. \u0633\u064a\u062a\u0645 \u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u062d\u0644\u0642\u0629 \u0637\u0627\u0644\u0645\u0627 \u0623\u0646 i \u0623\u0642\u0644 \u0645\u0646 n.<\/li>\n
    6. \u0623\u062b\u0646\u0627\u0621 \u0643\u0644 \u062a\u0643\u0631\u0627\u0631 \u0644\u0644\u062d\u0644\u0642\u0629\u060c \u062a\u062a\u0645 \u0637\u0628\u0627\u0639\u0629 \u0627\u0644\u0646\u062c\u0645\u0629 (*) \u0639\u0644\u0649 \u0634\u0627\u0634\u0629 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 cout. \u064a\u062a\u0645 \u0630\u0644\u0643 n \u0645\u0646 \u0627\u0644\u0645\u0631\u0627\u062a\u060c \u0644\u0630\u0644\u0643 \u0633\u064a\u062a\u0645 \u0637\u0628\u0627\u0639\u0629 \u0635\u0641 \u0645\u0646 \u0627\u0644\u0639\u0644\u0627\u0645\u0627\u062a \u0627\u0644\u0646\u062c\u0645\u064a\u0629 n.<\/li>\n
    7. \u0628\u0639\u062f \u062d\u0644\u0642\u0629 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 for\u060c \u062a\u062a\u0645 \u0637\u0628\u0627\u0639\u0629 \u062d\u0631\u0641 \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u062c\u062f\u064a\u062f (endl) \u0644\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u062a\u0627\u0644\u064a \u0641\u064a \u0634\u0627\u0634\u0629 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a.<\/li>\n
    8. \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0627\u0644\u062f\u0627\u0644\u0629 f \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0640 (argument) n \u2013 1. \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0633\u064a\u062a\u0645 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0627\u0644\u062f\u0627\u0644\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0628\u0642\u064a\u0645\u0629 \u0623\u0635\u063a\u0631 \u0645\u0646 n. \u0633\u064a\u0633\u062a\u0645\u0631 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u062f\u0627\u0644\u0629 \u0627\u0644\u0640 recursive \u062d\u062a\u0649 \u062a\u0635\u0628\u062d n \u0623\u0642\u0644 \u0645\u0646 0\u060c \u0648\u0639\u0646\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0633\u064a\u062a\u0645 \u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0648\u0633\u064a\u0628\u062f\u0623 \u0627\u0644\u062a\u0643\u0631\u0627\u0631 \u0641\u064a \u0627\u0644\u062a\u0631\u0627\u062c\u0639.<\/li>\n<\/ol>\n
      \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a:<\/p>\n
      *****\r\n****\r\n***\r\n**\r\n*<\/pre>\n
      \u0645\u062b\u0627\u0644 4:<\/strong><\/p>\n
      #include <iostream>\r\nusing namespace std;\r\n\r\nvoid f(int n)\r\n{\r\n    if (n == 0)\r\n        return;\r\n    else\r\n    {\r\n        f(n \/ 10);\r\n        cout << n % 10 << endl;\r\n    }\r\n}\r\n\r\nint main()\r\n{\r\n    f(100);\r\n    return 0;\r\n}<\/pre>\n
      \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a:<\/p>\n
      1\r\n0\r\n0<\/pre>\n
      \u062a\u0639\u0645\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0646\u0641\u0633\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0644\u0637\u0628\u0627\u0639\u0629 \u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0635\u062d\u064a\u062d \u0648\u0627\u062d\u062f\u064b\u0627 \u062a\u0644\u0648 \u0627\u0644\u0622\u062e\u0631\u060c \u0628\u062f\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0623\u0642\u0644 \u0623\u0647\u0645\u064a\u0629. \u062a\u0642\u0633\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 \u0623\u064a\u0636\u064b\u0627 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0635\u062d\u064a\u062d \u0639\u0644\u0649 10 \u0641\u064a \u0643\u0644 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0645\u062a\u0643\u0631\u0631 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0623\u0643\u062b\u0631 \u0623\u0647\u0645\u064a\u0629.<\/p>\n
      \u0644\u0637\u0628\u0627\u0639\u0629 \u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0635\u062d\u064a\u062d 1234 \u0646\u0633\u062a\u062f\u0639\u064a \u0627\u0644\u062f\u0627\u0644\u0629 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n
      f(1234);<\/pre>\n
      \u0642\u062f \u064a\u0624\u062f\u064a \u0647\u0630\u0627 \u0625\u0644\u0649 \u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u0646\u0641\u0633\u0647\u0627 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 4 \u0645\u0631\u0627\u062a\u060c \u0648\u0637\u0628\u0627\u0639\u0629 \u0631\u0642\u0645 \u0639\u0644\u0649 \u0634\u0627\u0634\u0629 \u0627\u0644\u0645\u062e\u0631\u062c\u0627\u062a \u0641\u064a \u0643\u0644 \u0645\u0631\u0629.<\/p>\n
      \u0648\u064a\u0628\u064a\u0646 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0625\u0633\u062a\u062f\u0639\u0627\u0621\u0627\u062a \u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0645 \u0625\u062c\u0631\u0627\u0624\u0647\u0627:<\/p>\n
      \n
      \n
      \n
      \n\n\n\n\n\n\n\n\n\n
      Call<\/th>\nInput number\u00a0n<\/code><\/th>\nOutput<\/th>\n<\/tr>\n
      f(5)<\/td>\n5<\/td>\n*<\/td>\n<\/tr>\n
      f(4)<\/td>\n4<\/td>\n*<\/td>\n<\/tr>\n
      f(3)<\/td>\n3<\/td>\n*<\/td>\n<\/tr>\n
      f(2)<\/td>\n2<\/td>\n*<\/td>\n<\/tr>\n
      f(1)<\/td>\n1<\/td>\n*<\/td>\n<\/tr>\n
      f(0)<\/td>\n0<\/td>\n(function returns)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
      \u0642\u062f \u064a\u0624\u062f\u064a \u0627\u0644\u0627\u0633\u062a\u062f\u0639\u0627\u0621 \u0627\u0644\u0623\u062e\u064a\u0631 \u0644\u0644\u062f\u0627\u0644\u0629 \u062d\u064a\u062b \u064a\u0643\u0648\u0646 n \u064a\u0633\u0627\u0648\u064a 0 \u0625\u0644\u0649 return \u0644\u0644\u062f\u0627\u0644\u0629\u060c \u0648\u0633\u064a\u0643\u062a\u0645\u0644 \u062a\u0633\u0644\u0633\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0639\u0627\u0621\u0627\u062a.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/form>\n<\/div>","protected":false},"excerpt":{"rendered":"
      Example 1: #include <iostream> using namespace std; int sum(int n) { if (n == 1) return 1; else return n + sum(n – 1); } int main() { cout << sum(5) << endl; return 0; } This function calculates the sum of the first n natural numbers. The first n natural numbers are the numbers […]<\/p>","protected":false},"author":3,"featured_media":0,"parent":2744,"menu_order":24,"comment_status":"closed","ping_status":"closed","template":"","doc_tag":[],"class_list":["post-9983","docs","type-docs","status-publish","hentry","no-post-thumbnail"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/docs\/9983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/comments?post=9983"}],"version-history":[{"count":19,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/docs\/9983\/revisions"}],"predecessor-version":[{"id":10324,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/docs\/9983\/revisions\/10324"}],"up":[{"embeddable":true,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/docs\/2744"}],"wp:attachment":[{"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/media?parent=9983"}],"wp:term":[{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/adelnasim.com\/ar\/wp-json\/wp\/v2\/doc_tag?post=9983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}