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C++ program to find Nth term of the series 1, 5, 32, 288 …
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1,5, 32, 288 ...
Let’s take an example to understand the problem,
Input
N = 4
Output
288
Explanation
4th term − (4^4) + (3^3) + (2^2) + (1^1) = 256 + 27 + 4 + 1 = 288
Solution Approach
A simple approach to solve the problem is by using the general formula for the nth term of the series. The formula for,
Nth term = ( N^N ) + ( (N-1)^(N-1) ) + … + ( 2^2 ) + ( 1^1 )
Program to illustrate the working of our solution,
Example
#include <iostream>
using namespace std;
int calcNthTerm(int N) {
if (N <= 1)
return 1;
int factorial = 1;
for (int i = 1; i < N; i++)
factorial *= i;
return factorial;
}
int main() {
int N = 8;
cout<<N<<"th term of the series is "<<calcNthTerm(N);
return 0;
}Output
8th term of the series is 5040
Updated on: 15-Mar-2021
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