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Program to find N-th term of series 3 , 5 , 21 , 51 , 95 , … 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 3 , 5 , 21 , 51 , 95 , … in C++.
Problem Description − To find the Nth terms of the series −
3, 5, 21, 51, 95, 153, … N-Terms
We need to find the general formula of the series, which is a quadratic equation (based increase in the series).
Let’s take an example to understand the problem,
Input − N = 6
Output − 153
Solution Approach:
To solve the problem, we will find the general formula for the nth term of the series which is given by −
Tn = 7*(n^2) - 19*n + 15
Example
#include <iostream> using namespace std; int findNTerm(int N) { int nthTerm = ( (7*(N*N)) - (19*N) + 15 ); return nthTerm; } int main() { int N = 7; cout<<N<<"th term of the series is "<<findNTerm(N); return 0; }
Output:
7th term of the series is 225
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