Program to find the Nth term of the series 3, 7, 13, 21, 31.....

07 Oct, 2021
Given a number N, the task is to find the Nth term of this series:
3, 7, 13, 21, 31, .......
Examples: 
Input: N = 4
Output: 21
Explanation:
Nth term = (pow(N, 2) + N + 1)
         = (pow(4, 2) + 4 + 1)
         = 21

Input: N = 11
Output: 133
Approach:Subtracting these two equations we get Therefore, the Nth Term of the given series is: 
Below is the implementation of the above approach: 
C++
Java
Python3
C#
PHP
Javascript
// CPP program to find the Nth term of given series.#include <iostream>#include <math.h>using namespace std; // Function to calculate sumlong long int getNthTerm(long long int N){    // Return Nth term    return (pow(N, 2) + N + 1);} // driver codeint main(){    // declaration of number of terms    long long int N = 11;     // Get the Nth term    cout << getNthTerm(N);     return 0;}
// Java code to find the Nth term of given series.import java.util.*; class solution{ // Function to calculate sumstatic long getNthTerm(long N){        // Return Nth term    return ((int)Math.pow(N, 2) + N + 1);} //Driver programpublic static void main(String arr[]){        // declaration of number of terms    long N = 11;     // Get the Nth term    System.out.println(getNthTerm(N)); }}//THis code is contributed by//Surendra_Gangwar
# Python3 Code to find the# Nth term of given series. # Function to calculate sumdef getNthTerm(N):         # Return Nth term    return (pow(N, 2) + N + 1) # driver codeif __name__=='__main__':     # declaration of number of terms    N = 11     # Get the Nth term    print(getNthTerm(N)) # This code is contributed by# Sanjit_Prasad
// C# code to find the Nth// term of given series.using System; class GFG{ // Function to calculate sumstatic long getNthTerm(long N){     // Return Nth term    return ((int)Math.Pow(N, 2) + N + 1);} // Driver Codestatic public void Main (){         // declaration of number    // of terms    long N = 11;     // Get the Nth term    Console.Write(getNthTerm(N));}} // This code is contributed by Raj
<?php// PHP program to find the// Nth term of given series // Function to calculate sumfunction getNthTerm($N){    // Return Nth term    return (pow($N, 2) + $N + 1);} // Driver code // declaration of number of terms$N = 11; // Get the Nth termecho getNthTerm($N); // This code is contributed by Raj?>
<script>// JavaScript program to find the Nth term of given series. // Function to calculate sumfunction getNthTerm(N){    // Return Nth term    return (Math.pow(N, 2) + N + 1);}   // driver code    // declaration of number of terms   let N = 11;      // Get the Nth term   document.write(getNthTerm(N));   // This code is contributed by Surbhi Tyagi </script>
133
 
Time Complexity: O(1) 
Sanjit_Prasad
SURENDRA_GANGWAR
R_Raj
surbhityagi15
surinderdawra388
ruhelaa48
series
Mathematical
School Programming
Mathematical
series
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