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
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