Find Nth term of the series 5, 13, 25, 41, 61... Last Updated : 13 Mar, 2023 Comments Improve Suggest changes Like Article Like Report Given a number N. The task is to write a program to find the Nth term in the below series: 5, 13, 25, 41, 61... Examples: Input : 3 Output : 25 For N = 3 Nth term = 3*3 + (3+1)*(3+1) = 25 Input : 5 Output : 61 On observing carefully, the Nth term of the given series can be generalised as: Nth term = N2 + (N+1)2 Below is the implementation of the above approach: C++ // CPP program to find N-th term of the series: // 5, 13, 25, 41, 61... #include <iostream> using namespace std; // calculate Nth term of series int nthTerm(int N) { return N * N + (N + 1) * (N + 1); } // Driver Function int main() { int N = 3; cout << nthTerm(N); return 0; } Java // Java program to calculate Nth term of // the series: 5, 13, 25, 41, 61... import java.io.*; class Nth { public static int nthTerm(int N) { // By using above formula return N * N + (N + 1) * (N + 1); } public static void main(String[] args) { int N = 3; // Nth term is 25 // call and print Nth term System.out.println(nthTerm(N)); } } Python 3 # Python 3 program to find # N-th term of the series: # 5, 13, 25, 41, 61... # Function to calculate # Nth term of series def nthTerm(N) : return N * N + (N + 1) * (N + 1) # Driver Code if __name__ == "__main__" : N = 3 # function calling print(nthTerm(N)) # This code is contributed # by ANKITRAI1 C# // C# program to calculate Nth term of // the series: 5, 13, 25, 41, 61... using System; class GFG { public static int nthTerm(int N) { // By using above formula return N * N + (N + 1) * (N + 1); } // Driver Code public static void Main() { int N = 3; // Nth term is 25 // call and print Nth term Console.Write(nthTerm(N)); } } // This code is contributed // by ChitraNayal PHP <?php // PHP program to find N-th // term of the series: // 5, 13, 25, 41, 61... // calculate Nth term of series function nthTerm($N) { return $N * $N + ($N + 1) * ($N + 1); } // Driver Code $N = 3; echo nthTerm($N); // This code is contributed // by ChitraNayal ?> JavaScript <script> // JavaScript program to find N-th term of the series: // 5, 13, 25, 41, 61... // calculate Nth term of series function nthTerm( N) { return N * N + (N + 1) * (N + 1); } // Driver Function let N = 3; document.write(nthTerm(N)); // This code contributed by Rajput-Ji </script> Output: 25 Time Complexity: O(1) Space Complexity: O(1) because constant variables are used Comment More infoAdvertise with us Next Article Analysis of Algorithms R rajput-ji Follow Improve Article Tags : DSA series math Practice Tags : series Similar Reads Basics & PrerequisitesLogic Building ProblemsLogic building is about creating clear, step-by-step methods to solve problems using simple rules and principles. 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