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C++ program to find Nth term of the series 5, 13, 25, 41, 61…
In this problem, we are given an integer N. Our task is to create a program to Find Nth term of series 5, 13, 25, 41, 61, …
Let’s take an example to understand the problem,
Input
N = 5
Output
61
Explanation
The series is − 5, 13, 25, 41, 61…
Solution Approach
A simple approach to solve the problem is by using the general formula for the nth term of the series. The Nth term is given by,
Nth term = ( (N*N) + ((N+1)*(N+1)) )
Program to illustrate the working of our solution,
Example
#include <iostream> using namespace std; int calcNthTerm(int N) { return ( ( (N + 1)*( N + 1) ) + (N*N) ) ; } int main() { int N = 7; cout<<N<<"th term of the series is "<<calcNthTerm(N); return 0; }
Output
7th term of the series is 113
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