Given a number N. The task is to write a program to find the Nth term of the below series:
5, 10, 17, 26, 37, 50, 65, 82, …(N Terms)
Examples:
Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 + 2 * 4 + 2)
= 26
Input: N = 10
Output: 122
Approach: The generalized Nth term of this series:
Below is the required implementation:
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 seriesint nthTerm(int n){ return pow(n, 2) + 2 * n + 2;}// Driver Functionint 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 seriesstatic int nthTerm(int n){ //return the final sum return (int)Math.pow(n, 2) + 2 * n + 2;}// Driver Functionpublic static void main(String arr[]){ int N = 4; System.out.println(nthTerm(N));}}//This code is contributed by Surendra_Gangwar |
Python3
# Python3 program to find the N-th # term of the series: # 5, 10, 17, 26, 37, 50, 65, 82, ... # from math lib. import everythingfrom 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 seriesstatic int nthTerm(int n){ //return the final sum return (int)Math.Pow(n, 2) + 2 * n + 2;}// Driver Codepublic static void Main(){ int N = 4; Console.Write(nthTerm(N));}}// This code is contributed // by ChitraNayal |
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 seriesfunction nthTerm($n){ return pow($n, 2) + 2 * $n + 2;}// Driver Code$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:// 5, 10, 17, 26, 37, 50, 65, 82, ...// calculate Nth term of seriesfunction 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> |
Output:
26
Time Complexity: O(1)
Space Complexity: O(1) since using constant variables
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