Find n-th term of series 2, 10, 30, 68, 130 …

Given a series 2, 10, 30, 68, 130 … Identify the pattern in the series and find the nth value in the series. Indices are starting from 1 . 1 <= n <= 200

Examples:

Input : n = 12
Output : 1740

Input : n = 200
Output : 8000200

If observed carefully, pattern of the series can be noticed as n^3 + n.



Below is the implementation of above approach:

C++

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// C++ program to find n-th value
#include <bits/stdc++.h>
using namespace std;
  
// Function to find nth term
int findValueAtX(int n)
{
    return (n * n * n) + n;
}
  
// drivers code
int main()
{
    cout << findValueAtX(10) << endl;
    cout << findValueAtX(2) << endl;
    return 0;
}

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Java

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// Java program to find n-th value
import java.io.*;
  
class GFG {
      
    // Function to find nth term
    static int findValueAtX(int n)
    {
        return (n * n * n) + n;
    }
  
    // driver code
    public static void main(String[] args)
    {
        System.out.println(findValueAtX(10));
        System.out.println(findValueAtX(2));
    }
}
  
// This code is contributed by vt_m.

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Python3

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# Python3 program to find n-th value
  
# Function to find nth term
def findValueAtX(n):
    return (n * n * n) + n
  
# Driver Code
print(findValueAtX(10))
print(findValueAtX(2))
  
# This code is contributed by Azkia Anam.

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C#

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// C# program to find n-th value
using System;
  
class GFG {
      
    // Function to find nth term
    static int findValueAtX(int n)
    {
        return (n * n * n) + n;
    }
  
    // driver code
    public static void Main()
    {
        Console.WriteLine(findValueAtX(10));
        Console.WriteLine(findValueAtX(2));
    }
}

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PHP

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<?php
// PHP program to 
// find n-th value
  
// Function to find nth term
function findValueAtX($n)
{
    return ($n * $n * $n) + $n;
}
  
    // Driver Code
    echo findValueAtX(10),"\n";
    echo findValueAtX(2);
  
// This code is contributed by anuj_67.
?>

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Output:

1010
10


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Improved By : vt_m



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