Given a series and a number N. The task is to find the Nth term of the given series:
3, 20, 63, 144, 230 …..
Examples:
Input: N = 4 Output: 144 When n = 4 nth term = 2 ( n * n * n ) + n * n = 2 ( 4 * 4 * 4 ) + 4 * 4 = 144 Input: N = 10 Output: 2100
Approach: We can find the general term (Tn) of the given series.
Below is the required implementation:
C++
// CPP program to find N-th term of the series: // 3, 20, 63, 144, 230 ..... #include <iostream> #include <math.h> using namespace std;
// calculate Nth term of series int nthTerm( int n)
{ return 2 * pow (n, 3) + pow (n, 2);
} // Driver code int main()
{ int N = 3;
cout << nthTerm(N);
return 0;
} |
Java
// Java program to find N-th term of the series: // 3, 20, 63, 144, 230 ..... import java.util.*;
class solution
{ // calculate Nth term of series static int nthTerm( int n)
{ //return final sum
return 2 *( int )Math.pow(n, 3 ) + ( int )Math.pow(n, 2 );
} // Driver code public static void main(String arr[])
{ int N = 3 ;
System.out.println(nthTerm(N)); } } //This code is contributed by Surendra_Gangwar |
Python 3
# Python program to find # N-th term of the series: # 3, 20, 63, 144, 230 ..... # calculate Nth term of series def nthTerm(n) :
return 2 * pow (n, 3 ) + pow (n, 2 )
# Driver code if __name__ = = "__main__" :
N = 3
print (nthTerm(N))
# This code is contributed # by ANKITRAI1 |
C#
// C# program to find N-th term of the series: // 3, 20, 63, 144, 230 ..... using System;
class solution
{ // calculate Nth term of series static int nthTerm( int n)
{ //return final sum
return 2 *( int )Math.Pow(n, 3) + ( int )Math.Pow(n, 2);
} // Driver code public static void Main()
{ int N = 3;
Console.WriteLine(nthTerm(N)); } } //This code is contributed by Shashank |
PHP
<?php // PHP program to find // N-th term of the series: // 3, 20, 63, 144, 230 ..... // calculate Nth term of series function nthTerm( $n )
{ return 2 * pow( $n , 3) +
pow( $n , 2);
} // Driver code $N = 3;
echo nthTerm( $N );
//This code is contributed by Shashank ?> |
Javascript
<script> // JavaScript program to find N-th term of the series: // 3, 20, 63, 144, 230 ..... // calculate Nth term of series function nthTerm( n)
{ return 2 * Math.pow(n, 3) + Math.pow(n, 2);
} // Driver code let N = 3;
document.write( nthTerm(N) );
// This code contributed by aashish1995 </script> |
Output:
63
Time Complexity: O(1), since there is no loop or recursion.
Auxiliary Space: O(1) since using constant variables