Program to find Nth term of series 2, 12, 28, 50, 77, 112, 152, 198, …..
Given a number N. The task is to write a program to find the Nth term of the below series:
2, 12, 28, 50, 77, 112, 152, 198…..(N Terms)
Examples:
Input: N = 4 Output: 50 For N = 4 4th Term = ( 3 * 4 * 4 + 4 - 2) = 50 Input: N = 10 Output: 307
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: // 2, 12, 28, 50, 77, 112, 152, 198, ..... #include <iostream> #include <math.h> using namespace std; // calculate Nth term of series int nthTerm( int n) { return 3 * pow (n, 2) + n - 2; } // 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: // 2, 12, 28, 50, 77, 112, 152, 198, ..... import java.util.*; class solution { // calculate Nth term of series static int nthTerm( int n) { return 3 *( int )Math.pow(n, 2 ) + n - 2 ; } //Driver program 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: # 2, 12, 28, 50, 77, 112, 152, 198, ..... # calculate Nth term of series def nthTerm(n): return 3 * pow (n, 2 ) + n - 2 # 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: // 2, 12, 28, 50, 77, 112, 152, 198, ..... using System; class GFG { // calculate Nth term of series static int nthTerm( int n) { return 3 * ( int )Math.Pow(n, 2) + n - 2; } // 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: // 2, 12, 28, 50, 77, // 112, 152, 198, ..... // calculate Nth term of series function nthTerm( $n ) { return 3 * pow( $n , 2) + $n - 2; } // 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: // 2, 12, 28, 50, 77, 112, 152, 198, ..... // calculate Nth term of series function nthTerm( n) { return 3 * Math.pow(n, 2) + n - 2; } // Driver code let N = 4; document.write( nthTerm(N) ); // This code contributed by gauravrajput1 </script> |
Output:
50
Time Complexity: O(1)
Auxiliary Space: O(1) since using constant variables