Dado un número N. La tarea es escribir un programa para encontrar el N-ésimo término de la siguiente serie:
0, 4, 14, 30, 51, 80, 114, 154, 200, …(Términos N)
Ejemplos:
Input: N = 4 Output: 82 For N = 4 4th Term = ( 4 * 4 - 2 * 4 + 2) = 10 Input: N = 10 Output: 122
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: // 5, 10, 17, 26, 37, 50, 65, 82, ... #include <iostream> #include <math.h> using namespace std; // calculate Nth term of series int nthTerm(int n) { return pow(n, 2) - 2 * n + 2; } // Driver Function int main() { int N = 4; cout << nthTerm(N); return 0; }
Java
// Java program to find the N-th term of the series: // 5, 10, 17, 26, 37, 50, 65, 82, ... import java.util.*; class solution { // calculate Nth term of series static int nthTerm(int n) { //return the total sum return (int)Math.pow(n, 2) - 2 * n + 2; } //Driver function public static void main(String arr[]) { int N = 4; System.out.println(nthTerm(N)); } }
Python3
# Python3 program to find the N-th # term of the series: # 0, 4, 14, 30, 51, 80, 114, 154, 200, … # from math lib. import everything from math import * # calculate Nth term of series def nthTerm(n) : return pow(n, 2) - 2 * n + 2 # Driver code if __name__ == "__main__" : N = 4 print(nthTerm(N)) # This code is contributed by # ANKITRAI1
C#
// C# program to find the // N-th term of the series: // 5, 10, 17, 26, 37, 50, 65, 82, ... using System; class GFG { // calculate Nth term of series public static int nthTerm(int n) { // return the total sum return (int)Math.Pow(n, 2) - 2 * n + 2; } // Driver Code public static void Main(string[] arr) { int N = 4; Console.WriteLine(nthTerm(N)); } } // This code is contributed // by Shrikant13
PHP
<?php // PHP program to find the // N-th term of the series: // 5, 10, 17, 26, 37, 50, 65, 82, ... // calculate Nth term of series function nthTerm($n) { return pow($n, 2) - 2 * $n + 2; } // Driver Code $N = 4; echo nthTerm($N); // This code is contributed // by ChitraNayal ?>
Javascript
<script> // JavaScript program to find the N-th term of the series: // 5, 10, 17, 26, 37, 50, 65, 82, ... // calculate Nth term of series function nthTerm( n) { return Math.pow(n, 2) - 2 * n + 2; } // Driver code let N = 4; document.write( nthTerm(N) ); // This code contributed by aashish1995 </script>
Producción:
10
Complejidad de tiempo: O(1)
Complejidad espacial: O(1) ya que usa variables constantes