Program to find the Nth term of series 5, 10, 17, 26, 37, 50, 65, 82, …
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 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 final 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)); } } //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 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 static int nthTerm( int n) { //return the final sum return ( int )Math.Pow(n, 2) + 2 * n + 2; } // Driver Code public 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 series function 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 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> |
Output:
26
Time Complexity: O(1)
Space Complexity: O(1) since using constant variables