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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