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C++ program to find Nth term of the series 1, 6, 18, 40, 75, ….
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 1,6, 18, 40, 75 ...
Let’s take an example to understand the problem,
Input
N = 4
Output
40
Explanation
4th term − (4 * 4 * 5 ) / 2 = 40
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) ) / 2
Program to illustrate the working of our solution,
Example
#include <iostream>
using namespace std;
int calcNthTerm(int N) {
return ( (N*N*(N+1))/2 );
}
int main() {
int N = 5;
cout<<N<<"th term of the series is "<<calcNthTerm(N);
return 0;
}Output
5th term of the series is 75
Updated on: 15-Mar-2021
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