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:

 nth\: Term\: of\: the\: series\: = n^2+2n+2

Below is the required implementation:

C++



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// 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;
}

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Java














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// 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 



















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Python3














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# 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 



















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C#














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// 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 



















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PHP














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<?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) 



















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Output:


26





Time Complexity: O(1)


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