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; } |
chevron_right
filter_none
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 |
chevron_right
filter_none
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 |
chevron_right
filter_none
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 |
chevron_right
filter_none
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) |
chevron_right
filter_none
Output:
26
Time Complexity: O(1)
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
