Given a number N. The task is to write a program to find the Nth term in the below series:
1, 8, 54, 384...
Examples:
Input : 3
Output : 54
For N = 3
Nth term = ( 3*3) * 3!
= 54
Input : 2
Output : 8
On observing carefully, the Nth term in the above series can be generalized as:
Nth term = ( N*N ) * ( N! )
Below is the implementation of the above approach:
C++
// CPP program to find N-th term of the series:// 1, 8, 54, 384...#include <iostream>using namespace std;// calculate factorial of Nint fact(int N){ int i, product = 1; for (i = 1; i <= N; i++) product = product * i; return product;}// calculate Nth term of seriesint nthTerm(int N){ return (N * N) * fact(N);}// Driver Functionint main(){ int N = 4; cout << nthTerm(N); return 0;} |
Java
// Java program to find N-th term of the series:// 1, 8, 54, 384...import java.io.*;// Main class for main methodclass GFG { public static int fact(int N) { int i, product = 1; // Calculate factorial of N for (i = 1; i <= N; i++) product = product * i; return product; } public static int nthTerm(int N) { // By using above formula return (N * N) * fact(N); } public static void main(String[] args) { int N = 4; // 4th term is 384 System.out.println(nthTerm(N)); }} |
Python 3
# Python 3 program to find # N-th term of the series:# 1, 8, 54, 384...# calculate factorial of Ndef fact(N): product = 1 for i in range(1, N + 1): product = product * i return product# calculate Nth term of seriesdef nthTerm(N): return (N * N) * fact(N)# Driver Codeif __name__ =="__main__": N = 4 print(nthTerm(N))# This code is contributed# by ChitraNayal |
C#
// C# program to find N-th // term of the series:// 1, 8, 54, 384...using System;class GFG {public static int fact(int N){ int i, product = 1; // Calculate factorial of N for (i = 1; i <= N; i++) product = product * i; return product;}public static int nthTerm(int N){ // By using above formula return (N * N) * fact(N);}// Driver Codepublic static void Main(String[] args){ int N = 4; // 4th term is 384 Console.WriteLine(nthTerm(N));}}// This code is contributed // by Kirti_Mangal |
PHP
<?php // PHP program to find N-th /// term of the series:// 1, 8, 54, 384...// calculate factorial of Nfunction fact($N){ $product = 1; for ($i = 1; $i <= $N; $i++) $product = $product * $i; return $product;}// calculate Nth term of seriesfunction nthTerm($N){ return ($N * $N) * fact($N);}// Driver Code$N = 4;echo nthTerm($N);// This code is contributed // by ChitraNayal?> |
Javascript
<script>// JavaScript program to find N-th term of the series:// 1, 8, 54, 384...// calculate factorial of Nfunction fact( N){ let i, product = 1; for (i = 1; i <= N; i++) product = product * i; return product;}// calculate Nth term of seriesfunction nthTerm( N){ return (N * N) * fact(N);}// Driver Function let N = 4; document.write(nthTerm(N)); // This code contributed by Rajput-Ji</script> |
Output:
384
Time Complexity: O(N)
Space Complexity: O(1) because using constant variables
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