Given a number N. The task is to write a program to find the Nth term in the below series:
3, 14, 39, 84…
Examples:
Input: 3 Output: 39 For N = 3 Nth term = ( 3*3*3 ) + ( 3*3 ) + 3 = 39 Input: 4 Output: 84
Formula to calculate the Nth term of the series:
Nth term = ( N*N*N ) + ( N*N ) + N
Below is the required implementation:
C++
// CPP program to find N-th term of the series: // 3, 14, 38, 84... #include <iostream> using namespace std;
// calculate Nth term of series int nthTerm( int N)
{ return (N * N * N) + (N * N) + N;
} // Driver Function int main()
{ int N = 3;
cout << nthTerm(N);
return 0;
} |
Java
// Java program to find Nth number import java.io.*;
// calculate Nth term of this series class GFG
{ public int nthTerm( int N)
{ // By using above formula
return (N * N * N) + (N * N) + N;
} // Driver Code public static void main(String[] args)
{ int N = 3 ;
GFG a = new GFG();
// call and print Nth term
System.out.println(a.nthTerm(N));
} } |
Python 3
# Python 3 program to find N-th # term of the series: # 3, 14, 38, 84... # Function to calculate Nth term of series def nthTerm(n) :
return (N * N * N) + (N * N) + N
# Driver code if __name__ = = "__main__" :
N = 3
# function calling
print (nthTerm(N))
# This code is contributed by ANKITRAI1 |
C#
// C# program to find Nth number using System;
// calculate Nth term of this series class GFG
{ public int nthTerm( int N)
{ // By using above formula
return (N * N * N) + (N * N) + N;
} // Driver Code public static void Main()
{ int N = 3;
GFG a = new GFG();
// call and print Nth term
Console.WriteLine(a.nthTerm(N));
} } // This code is contributed // by inder_verma. |
PHP
<?php // PHP program to find N-th term // of the series: 3, 14, 38, 84... // calculate Nth term of series function nthTerm( $N )
{ return ( $N * $N * $N ) +
( $N * $N ) + $N ;
} // Driver Code $N = 3;
echo nthTerm( $N );
// This code is contributed // by Shivi_Aggarwal ?> |
Javascript
<script> // JavaScriptprogram to find N-th term of the series: // 3, 14, 38, 84... // calculate Nth term of series function nthTerm( N)
{ return (N * N * N) + (N * N) + N;
} // Driver Function let N = 3;
document.write(nthTerm(N));
// This code contributed by Rajput-Ji </script> |
Output:
39
Time complexity: O(1) because performing constant operations
Auxiliary Space: O(1)