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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
TN = 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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