Given a number N, the task is to find the Nth term of this series:
-1, 2, 11, 26, 47, 74, .....
Examples:
Input: 3
Output: 11
Explanation:
when N = 3
Nth term = ( (3 * N * N) - (6 * N) + 2 )
= ( (3 * 3 * 3) - (6 * 3) + 2 )
= 11
Input: 9
Output: 191
Approach:
The Nth term of the given series can be generalised as:
Nth term of the series : ( (3 * N * N) - (6 * N) + 2 )
Below is the implementation of the above problem:
Program:
C++
// CPP program to find N-th term of the series: // 9, 23, 45, 75, 113, 159...... #include <iostream>;using namespace std; // calculate Nth term of series int nthTerm(int N) { return ((3 * N * N) - (6 * N) + 2); } // Driver Function int main() { // Get the value of N int N = 3; // Find the Nth term // and print it cout << nthTerm(N); return 0; } |
Java
// Java program to find N-th term of the series: // 9, 23, 45, 75, 113, 159...... class GFG { // calculate Nth term of series static int nthTerm(int N) { return ((3 * N * N) - (6 * N) + 2); } // Driver code public static void main(String[] args) { int N = 3; // Find the Nth term // and print it System.out.println(nthTerm(N)); }}// This code is contributed by bilal-hungund |
Python3
# Python3 program to find N-th term # of the series: # 9, 23, 45, 75, 113, 159...... def nthTerm(N): #calculate Nth term of series return ((3 * N * N) - (6 * N) + 2);# Driver Code if __name__=='__main__': n = 3 #Find the Nth term # and print it print(nthTerm(n)) # this code is contributed by bilal-hungund |
C#
// C# program to find N-th term of the series: // 9, 23, 45, 75, 113, 159...... using System;class GFG {// calculate Nth term of series static int nthTerm(int N) { return ((3 * N * N) - (6 * N) + 2); } // Driver codepublic static void Main(){ int N = 3; // Find the Nth term // and print it Console.WriteLine(nthTerm(N));}}// This code is contributed by inder_verma |
PHP
<?php // PHP program to find N-th term of// the series: 9, 23, 45, 75, 113, 159......// calculate Nth term of seriesfunction nthTerm($N){ return ((3 * $N * $N) - (6 * $N) + 2);}// Driver Code// Get the value of N$N = 3;// Find the Nth term// and print itecho nthTerm($N);// This code is contributed by Raj?> |
Javascript
<script>// JavaScript program to find N-th term of the series: // 9, 23, 45, 75, 113, 159...... // calculate Nth term of series function nthTerm(N) { return ((3 * N * N) - (6 * N) + 2); } // Driver Function // Get the value of N let N = 3; // Find the Nth term // and print it document.write(nthTerm(N)); // This code is contributed by Surbhi Tyagi</script> |
Output:
11
Time Complexity: O(1)
Space Complexity: O(1) since using constant variables
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