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

Last Updated : 15 Mar, 2021

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:

Below is the required implementation:

C++

// 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;
}

Java

// 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

Python3

# 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

C#

// 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

PHP

<?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
?>

Javascript

<script>
 
// JavaScript 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 * Math.pow(n, 2) - 5 * n;
}
 
// Driver code
 
let N = 4;
 
   document.write( nthTerm(N) );
 
// This code contributed by gauravrajput1
 
</script>

Output:

Time Complexity: O(1)

Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the Essential Maths for CP Course at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more, please refer Complete Interview Preparation Course.

My Personal Notes

Related Articles

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

C++

Java

Python3

C#

PHP

Javascript