n-th term in series 2, 12, 36, 80, 150….in C++

The given series is 2, 12, 36, 80, 150...

If you clearly observe the series, you will find that the n-th number is n² + n³.

Algorithm

• Initialise the number N.
• Use the series formula to compute the n-th term.
• Print the result.

Implementation

Following is the implementation of the above algorithm in C++

#include <bits/stdc++.h>

using namespace std;

int getNthTerm(int n) {
   return (n * n) + (n * n * n);
}
int main() {
   int n = 7;
   cout << getNthTerm(n) << endl;
   return 0;
}

Output

If you run the above code, then you will get the following result.

392