Program to find Nth term of the series 3, 12, 29, 54, 87, …
Given a number N, the task is to find the Nth term of this series:
3, 12, 29, 54, 87, ………….
Examples:
Input: N = 4
Output: 54
Explanation:
Nth term = 4 * pow(n, 2) - 3 * n + 2
= 4 * pow(4, 2) - 3 * 4 + 2
= 54
Input: N = 10
Output: 372
Approach:
The Nth Term of the given series is:
Nth term of the series
Below is the implementation of the above approach:
C++
// CPP program to find N-th term of the series: // 3, 12, 29, 54, 87, ... #include <iostream> #include <math.h> using namespace std; // calculate Nth term of series int getNthTerm(long long int N) { // Return Nth term return 4 * pow(N, 2) - 3 * N + 2; } // driver code int main() { // declaration of number of terms long long int N = 10; // Get the Nth term cout << getNthTerm(N); return 0; } |
Java
// Java program to find N-th term of the series: // 3, 12, 29, 54, 87, ... import java.util.*; class solution { static long getNthTerm(long N) { // Return Nth term return 4 *(long)Math.pow(N, 2) - 3 * N + 2; } //Driver code public static void main(String arr[]) { // declaration of number of terms long N = 10; // Get the Nth term System.out.println(getNthTerm(N)); } } |
Python3
# Python3 program to find N-th term of the series: # 3, 12, 29, 54, 87, ... # calculate Nth term of series def getNthTerm(N): # Return Nth term return 4 * pow(N, 2) - 3 * N + 2 # driver code if __name__=='__main__': # declaration of number of terms N = 10 # Get the Nth term print(getNthTerm(N)) # This code is contributed by # Sanjit_Prasad |
C#
// C# program to find // N-th term of the series: // 3, 12, 29, 54, 87, ... using System; class GFG { static long getNthTerm(long N) { // Return Nth term return 4 * (long)Math.Pow(N, 2) - 3 * N + 2; } // Driver code static public void Main () { // declaration of number // of terms long N = 10; // Get the Nth term Console.Write(getNthTerm(N)); } } // This code is contributed by Raj |
PHP
<?php // PHP program to find // N-th term of the series: // 3, 12, 29, 54, 87, ... // calculate Nth term of series function getNthTerm($N) { // Return Nth term return 4 * pow($N, 2) - 3 * $N + 2; } // Driver code // declaration of number of terms $N = 10; // Get the Nth term echo getNthTerm($N); // This code is contributed // by inder_verma ?> |
Output:
372
Time Complexity: O(1)
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