查找系列5、13、25、41、61的第n项…-yiteyi-C++库

给定一个数字N。任务是编写一个程序，在下面的系列中查找第N项：

null

5, 13, 25, 41, 61...

例如：

Input : 3Output : 25For N = 3Nth term = 3*3 + (3+1)*(3+1)         = 25Input : 5Output : 61

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

仔细观察，给定序列的第n项可概括为：

Nth term = N² + (N+1)²

以下是上述方法的实施情况：

C++

                         // CPP program to find N-th term of the series:                       
                         // 5, 13, 25, 41, 61...                       
                         #include <iostream>                       
                         using                                     namespace                                     std;                       
           
                         // calculate Nth term of series                       
                         int                                     nthTerm(                                     int                                     N)                       
                         {                       
                                                 return                                     N * N + (N + 1) * (N + 1);                       
                         }                       
           
                         // Driver Function                       
                         int                                     main()                       
                         {                       
                                                 int                                     N = 3;                       
           
                                                 cout << nthTerm(N);                       
           
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java program to calculate Nth term of                       
                         // the series: 5, 13, 25, 41, 61...                       
           
                         import                                     java.io.*;                       
           
                         class                                     Nth {                       
                                                 public                                     static                                     int                                     nthTerm(                                     int                                     N)                       
                                                 {                       
                                                 // By using above formula                       
                                                 return                                     N * N + (N +                                     1                                     ) * (N +                                     1                                     );                       
                                                 }                       
                                   
                                                 public                                     static                                     void                                     main(String[] args)                       
                                                 {                       
                                                 int                                     N =                                     3                                     ;                                     // Nth term is 25                       
                                   
                                                 // call and print Nth term                       
                                                 System.out.println(nthTerm(N));                       
                                                 }                       
                         }                       

Python 3

                         # Python 3 program to find                       
                         # N-th term of the series:                       
                         # 5, 13, 25, 41, 61...                       
           
                         # Function to calculate                       
                         # Nth term of series                       
                         def                                     nthTerm(N) :                       
                                                 return                                     N                                     *                                     N                                     +                                     (N                                     +                                     1                                     )                                     *                                     (N                                     +                                     1                                     )                       
           
                         # Driver Code                       
                         if                                     __name__                                     =                                     =                                     "__main__"                                     :                       
           
                                                 N                                     =                                     3                       
           
                                                 # function calling                       
                                                 print                                     (nthTerm(N))                       
           
                         # This code is contributed                       
                         # by ANKITRAI1                       

C#

                         // C# program to calculate Nth term of                       
                         // the series: 5, 13, 25, 41, 61...                       
                         using                                     System;                       
           
                         class                                     GFG                       
                         {                       
                         public                                     static                                     int                                     nthTerm(                                     int                                     N)                       
                         {                       
                                                 // By using above formula                       
                                                 return                                     N * N + (N + 1) * (N + 1);                       
                         }                       
           
                         // Driver Code                       
                         public                                     static                                     void                                     Main()                       
                         {                       
                                                 int                                     N = 3;                                     // Nth term is 25                       
                                   
                                                 // call and print Nth term                       
                                                 Console.Write(nthTerm(N));                       
                         }                       
                         }                       
           
                         // This code is contributed                       
                         // by ChitraNayal                       

PHP

                         <?php                       
                         // PHP program to find N-th                       
                         // term of the series:                       
                         // 5, 13, 25, 41, 61...                       
           
                         // calculate Nth term of series                       
                         function                                     nthTerm(                                     $N                                     )                       
                         {                       
                                                 return                                     $N                                     *                                     $N                                     + (                                     $N                                     + 1) *                       
                                                 (                                     $N                                     + 1);                       
                         }                       
           
                         // Driver Code                       
                         $N                                     = 3;                       
           
                         echo                                     nthTerm(                                     $N                                     );                       
           
                         // This code is contributed                       
                         // by ChitraNayal                       
                         ?>                       

Javascript

                         <script>                       
           
                         // JavaScript program to find N-th term of the series:                       
                         // 5, 13, 25, 41, 61...                       
           
                         // calculate Nth term of series                       
                         function                                     nthTerm( N)                       
                         {                       
                                                 return                                     N * N + (N + 1) * (N + 1);                       
                         }                       
                         // Driver Function                       
           
                                                 let N = 3;                       
                                                 document.write(nthTerm(N));                       
                                   
                         // This code contributed by Rajput-Ji                       
           
                         </script>                       

输出：

时间复杂性： O（1）

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