- Related Questions & Answers
- Program to find N-th term of series 2, 4, 3, 4, 15… in C++
- C++ program to find n-th term of series 1, 3, 6, 10, 15, 21…
- Program to find N-th term of series 7, 21, 49, 91, 147, 217, …… in C++
- C++ program to find n-th term in the series 9, 33, 73,129 …
- C++ program to find Nth term of the series 1, 5, 32, 288 …
- 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…
- C++ program to find n-th term of series 2, 10, 30, 68, 130 …
- Program to find N-th term in the given series in C++
- Program to find N-th term of series a, b, b, c, c, c…in C++
- n-th term of series 1, 17, 98, 354…… in C++
- Program to find N-th term of series 1 4 15 24 45 60 92... in C++
- Program to find N-th term of series 3, 5, 33, 35, 53… 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 3 , 5 , 21 , 51 , 95 , … in C++

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

In this problem, we are given an integer N. The task is to find n-th term in series 7, 15, 32....

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

N = 6

281

The series upto nth term is 7, 15, 32, 67, 138, 281

The solution to the problem lies in decoding the series. You can see the series is a mix of series.

The subtracting the values,

T(2) - T(1) = 15 - 7 = 8 T(3) - T(2) = 32 - 15 = 17 So, T(2) = 2*T(1) + 1 T(3) = 2*T(2) + 2 T(n) = 2*T(n-1) + (n-1)

So, the value of the nth term is found using the last term. To find these we will loop from 1 to n and find each value of the series.

**Program to illustrate the working of our solution,**

#include <iostream> using namespace std; int findNthTerm(int n) { if (n == 1) return 7; int termN = 7; for (int i = 2; i <= n; i++) termN = 2*termN + (i - 1); return termN; } int main(){ int n = 12; cout<<"The series is 7, 15, 32, 67...\n"; cout<<n<<"th term of the series is "<<findNthTerm(n); return 0; }

The series is 7, 15, 32, 67... 12th term of the series is 18419

Advertisements