Program to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, ...In C++

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, … In C++.

Problem Description − To find the Nth terms of the series −

0, 11, 28, 51, 79, 115, 156, 203, … N-th term.

Let’s take an example to understand the problem,

Input − N = 5

Output − 79

Solution Approach:

The general formula for nth term of the series is −

T_n = 3*(N*N) + 2*N - 5

Program to illustrate the working of our solution,

#include <iostream>
using namespace std;
int findNTerm(int N) {
int nthTerm = ( (3*N*N) + 2*N - 5);
return nthTerm;
}
int main()
{
int N = 9;
cout<<N<<"th term of the series is "<<findNTerm(N);
return 0;
}

Output:

9th term of the series is 256