Program to find the Nth term of series 5, 10, 17, 26, 37, 50, 65, 82, …

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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;
}

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

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

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

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)

Javascript

<script>
// JavaScript 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 Math.pow(n, 2) + 2 * n + 2;
}
 
// Driver code
 
    let N = 4;
   document.write( nthTerm(N) );
 
// This code contributed by aashish1995 
 
</script>

Output:

Time Complexity: O(1)

Space Complexity: O(1) since using constant variables

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