Program to find the Nth term of series 0, 4, 14, 30, 51, 80, 114, 154, 200, …

Given a number N. The task is to write a program to find the Nth term of the below series:

0, 4, 14, 30, 51, 80, 114, 154, 200, …(N Terms)

Examples:

Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 - 2 * 4 + 2) 
         = 10

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 total 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)); 
  
  

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Python3

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# Python3 program to find the N-th 
# term of the series: 
# 0, 4, 14, 30, 51, 80, 114, 154, 200, …
  
# 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 
public static int nthTerm(int n)
{
  
    // return the total sum 
    return (int)Math.Pow(n, 2) - 
                    2 * n + 2;
}
  
// Driver Code 
public static void Main(string[] arr)
{
    int N = 4;
  
    Console.WriteLine(nthTerm(N));
}
}
  
// This code is contributed
// by Shrikant13

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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 ChitraNayal
?>

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Output:

10

Time Complexity: O(1)



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