Program to find Nth term of series 0, 10, 30, 60, 99, 150, 210, 280………..

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

0, 10, 30, 60, 99, 150, 210, 280…..(N Terms)

Examples:

Input: N = 4
Output: 60
For N = 4
4th Term = ( 5 * 4 * 4 - 5 * 4) 
         = 60

Input: N = 10
Output: 449

Approach: The generalized Nth term of this series:

 nth\: Term\: of\: the\: series\: = 5*n^2-5*n  

Below is the required implementation:

C++

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// C++ program to find the N-th term of the series:
// 0, 10, 30, 60, 99, 150, 210, .....
#include <iostream>
#include <math.h>
using namespace std;
  
// calculate Nth term of series
int nthTerm(int n)
{
    return 5 * pow(n, 2) - 5 * n;
}
  
// Driver code
int main()
{
    int N = 4;
  
    cout << nthTerm(N) << endl;
  
    return 0;
}

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Java

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// Java program to find the N-th term of the series:
// 0, 10, 30, 60, 99, 150, 210, .....
import java.util.*;
  
class solution
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return 5 * (int)Math.pow(n, 2) - 5 * n;
}
  
//Driver code
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:
# 0, 10, 30, 60, 99, 150, 210, .....
  
# calculate Nth term of series
def nthTerm(n):
  
    return 5 * pow(n, 2) - 5 * n
  
# Driver code
N = 4
print(nthTerm(N))
  
# This code is contributed by
# Sanjit_Prasad

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C#

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// C# program to find the
// N-th term of the series:
// 0, 10, 30, 60, 99, 150, 210, .....
using System; 
  
class GFG
{
  
// calculate Nth term of series
static int nthTerm(int n)
{
    return 5 * (int)Math.Pow(n, 2) - 5 * n;
}
  
// 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:
// 0, 10, 30, 60, 99, 150, 210,...
  
// calculate Nth term of series
function nthTerm($n)
{
    return 5 * pow($n, 2) - 5 * $n;
}
  
// Driver code
$N = 4;
  
echo nthTerm($N);
  
// This code is contributed 
// by inder_verma
?>

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Output:

60

Time Complexity: O(1)



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