Dado un número N. La tarea es escribir un programa para encontrar el N-ésimo término de la siguiente serie:
0, 5, 18, 39, 67, 105, 150, 203, …(Términos N)
Ejemplos:
Input: N = 4 Output: 82 For N = 4 4th Term = ( 4 * 4 * 4 - 7 * 4 + 3) = 39 Input: N = 10 Output: 332
Enfoque: El enésimo término generalizado de esta serie:
A continuación se muestra la implementación requerida:
C++
// CPP program to find the N-th term of the series: // 0, 5, 18, 39, 67, 105, 150, 203, ... #include <iostream> #include <math.h> using namespace std; // calculate Nth term of series int nthTerm(int n) { return 4 * pow(n, 2) - 7 * n + 3; } // Driver code int main() { int N = 4; cout << nthTerm(N); return 0; }
Java
// Java program to find the N-th term of the series: // 0, 5, 18, 39, 67, 105, 150, 203, import java.util.*; import java.lang.*; import java.io.*; class GFG { // calculate Nth term of series static int nthTerm(int n) { return 4 * (int)Math.pow(n, 2) - 7 * n + 3; } // Driver code public static void main(String args[]) { int N = 4; System.out.print(nthTerm(N)); } }
Python 3
# Python 3 program to find the # N-th term of the series: # 0, 5, 18, 39, 67, 105, 150, 203, ... # calculate Nth term of series def nthTerm(n): return 4 * pow(n, 2) - 7 * n + 3 # Driver code N = 4 print(nthTerm(N)) # This code is contributed by ash264
C#
// C# program to find the // N-th term of the series: // 0, 5, 18, 39, 67, 105, 150, 203, using System; class GFG { // calculate Nth term of series static int nthTerm(int n) { return 4 * (int)Math.Pow(n, 2) - 7 * n + 3; } // Driver code static public void Main () { int N = 4; Console.Write(nthTerm(N)); } } // This code is contributed by Raj
PHP
<?php // PHP program to find the // N-th term of the series: // 0, 5, 18, 39, 67, 105, 150, 203, ... // calculate Nth term of series function nthTerm($n) { return 4 * pow($n, 2) - 7 * $n + 3; } // Driver code $N = 4; echo nthTerm($N); // This code is contributed // by Akanksha Rai(Abby_akku) ?>
Javascript
<script> // JavaScript program to find the N-th term of the series: // 0, 5, 18, 39, 67, 105, 150, 203, ... // calculate Nth term of series function nthTerm( n) { return 4 * Math.pow(n, 2) - 7 * n + 3; } // driver code // declaration of number of terms let N = 4; document.write( nthTerm(N) ); // This code contributed by gauravrajput1 </script>
Producción:
39
Complejidad de tiempo: O(1)
Complejidad espacial : O (1) ya que usa variables constantes