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# Program to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, …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 2, 12, 28, 50, 77, 112, 152, 198, …in C++.

**Problem Description** − To find the N-th term of the series.

**2, 12, 28, 50, 77, 112, 152, 198, ...N terms**

We will find a general for the series.

**Let’s take an example to understand the problem,**

**Input** − N = 6

**Output** − 112

## Solution Approach:

Here, the series is increasing in parabolic form, so the general term will be a quadratic equation.

So, the general formula for the series is

**T _{N} = 3*(N*N) + N - 2**

## Program to illustrate the working of our solution,

#include <iostream> using namespace std; int findNTerm(int N) { int nthTerm = ( (3*N*N) + N - 2); return nthTerm; } int main() { int N = 10; cout<<N<<"th term of the series is "<<findNTerm(N); return 0; }

## Output:

10th term of the series is 308

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