C++ program to find n-th term of series 2, 10, 30, 68, 130 …
In this problem, we are given an integer N. The task is to find the n-th term in series 2, 10, 30, 68, 130...
Let’s take an example to understand the problem,
Input
N = 7
Output
350
Explanation
The series is 2, 10, 30, 68, 130, 222, 350...
Solution Approach
A simple solution to the problem is by finding the general term of the series. Here, the Nth term of the series is N^3 + N. This is found by subtracting the current element with the current index.
For i,
i = 1, T(1) = 2 = 1 + 1 = 1^3 + 1
i = 2, T(1) = 10 = 8 + 2 = 2^3 + 2
i = 3, T(1) = 30 = 27 + 3 = 3^3 + 2
Program to illustrate the working of our solution,
Example
Live Demo
#include <iostream>
using namespace std;
int findNthTerm(int N) {
return ((N*N*N) + N);
}
int main() {
int N = 8;
cout<<"The "<<N<<"th term of the series is "<<findNthTerm(N);
return 0;
}
Output
The 8th term of the series is 520
Published on 13-Mar-2021 12:23:10
- Related Questions & Answers
- C++ program to find n-th term of series 1, 3, 6, 10, 15, 21…
- Program to find N-th term of series 4, 14, 28, 46, 68, 94, 124, 158, …..in C++
- Program to find N-th term of series 1, 2, 11, 12, 21… in C++
- Program to find N-th term of series 2, 4, 3, 4, 15… in C++
- Program to find N-th term of series 0, 10, 30, 60, 99, 150, 210, 280...in C++
- Program to find N-th term of series 0, 0, 2, 1, 4, 2, 6, 3, 8…in C++
- n-th term in series 2, 12, 36, 80, 150….in C++
- Program to find N-th term of series 3, 6, 18, 24, … in C++
- C++ program to find n-th term of series 3, 9, 21, 41, 71…
- Program to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, …in C++
- C++ program to find n-th term in the series 7, 15, 32, …
- C++ program to find n-th term in the series 9, 33, 73,129 …
- Find sum of Series with n-th term as n^2 - (n-1)^2 in C++
- Program to find N-th term of series 7, 21, 49, 91, 147, 217, …… in C++
- n-th term of series 1, 17, 98, 354…… in C++