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Program to find N-th term of series 3, 6, 18, 24, ... in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 462 Views

In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 3, 6, 18, 24, … in C++.Problem Description − To find the Nth term of the series −3, 6, 18, 24, 45, 54, 84 … N TermsWe need to find the general formula for the given series.Let’s take an example to understand the problem, Input − N = 10Output − 150Solution Approach:To find the general term of the series, we will first observe the series and check all the possible generalizations of the series. Like, 3 is common ...

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set vs unordered_set in C++ STL(3)

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

In this article, let us understand what is set and unordered_set in C++ STL and thereby gain knowledge of difference between them.What is set?A set is an Associative container which contains a sorted set of unique objects of type Key. Each element may occur only once, so duplicates are not allowed. A user can create a set by inserting elements in any order and the set will return a sorted data to the user which means set contains definition for sorting the data which is abstracted from the user.The main reasons when set can be used are −When sorted data ...

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Image Smoother in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 477 Views

Suppose we have a 2D matrix M representing the gray scale of an image, we have to design a smoother to make the gray scale of each pixel becomes the average gray scale (rounding down) of all the 8 surrounding pixels and itself. If a cell has less than 8 surrounding cells, convert all possible pixels.So, if the input is like111101111then the output will be000000000To solve this, we will follow these steps −R := row count of MC := column count ofDefine an array d = { -1, 0, 1 }Define one 2D array res of size (R x C)for ...

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Program to find N-th term of series 3, 12, 29, 54, 86, 128, 177, 234, ..... in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 148 Views

In this tutorial, we will be discussing a program to find N-th term of series 3, 12, 29, 54, 86, 128, 177, 234, …..For this we will be provided with a number. Our task is to find the term for the given series at that particular position.Example#include #include using namespace std; //calculating nth term of given series int nthTerm(int n) {    return 4 * pow(n, 2) - 3 * n + 2; } int main() {    int N = 4;    cout

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Program to find N-th term of series 3, 12, 29, 54, 87, ... in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 225 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 3, 12, 29, 54, 87, … in C++.The series is3, 12, 29, 54, 87, 128, .... N-TermsLet’s take an example to understand the problem, Input − N = 5Output − 87Solution Approach:Let’s deduce the general term of the given series. The series is −3, 12, 29, 54, 87, 128, ....The general term of this series isTn = 4(n2 ) - 3*n + 2Using the general term formula, we can find any value of the series.For example, T8 = ...

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Program to find N-th term of series 4, 14, 28, 46, 68, 94, 124, 158, .....in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 683 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 4, 14, 28, 46, 68, 94, 124, 158, …..in C++.Problem Description − To find the Nth term of series4, 14, 28, 46, 68, 94, 124, … (N-terms),  We will find the general term of the series and calculate the value based on the value of n.Let’s take an example to understand the problem, Input − N = 5Output − 68Solution Approach:Let’s deduce the general term of the given series. The series is:4, 14, 28, 46, 68, 94, 124….We ...

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Maximum area of rectangle possible with given perimeter in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 448 Views

Given a perimeter of a rectangle, the task is to find the maximum area of the rectangle with that given perimeter.A rectangle is a type of parallelogram whose opposite sides are equal and parallel.The perimeter of a rectangle is the sum of all sides of a rectangle; we can also say perimeter is the total distance of the outside of the rectangle.The formula to find the perimeter of a rectangle is − Length + Breadth + Length + Breadth or 2(Length + Breadth)Whereas the area of a rectangle is the size of the rectangular object. The formula for finding the ...

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Program to find N-th term of series 7, 21, 49, 91, 147, 217, ...... in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 175 Views

In this problem, we are given a number n that denotes the nth term of the series. Our task is to create a program to find the N-th term of series 7, 21, 49, 91, 147, 217, …… in C++.Problem Description - We will find the nth term of the series 7, 21, 49, 91, 147, 217, … and for that, we will deduce the general term of the series.Let’s take an example to understand the problem, Input − N = 5Output − 147Solution Approach:Let’s deduce the general term of the given series. The series is −7, 21, 49, 91, ...

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Count entries equal to x in a special matrix in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 422 Views

Given a square matrix, mat[][] let the elements of the matrix me mat[i][j] = i*j, the task is to count the number of elements in the matrix is equal to x.Matrix is like a 2d array in which numbers or elements are represented as rows and columns.So, let's understand the solution of the problem with the help of examples −Input −matrix[row][col] = {    {1, 2, 3},    {3, 4, 3},    {3, 4, 5}}; x = 3Output −Count of entries equal to x in a special matrix: 4Input −matrix[row][col] = {    {10, 20, 30},    {30, 40, 30}, ...

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Program to find N-th term of series 9, 23, 45, 75, 113... in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 321 Views

In this problem, we are given an integer n that denotes the nth term of the series. Our task is to create a program to find N-th term of series 9, 23, 45, 75, 113… in C++.Problem Description − Here, we need to find the nth term of the series for which we will be finding the general term of the series.The series is 9, 23, 45, 75, 113, 159, 213, …Let’s take an example to understand the problem, Input − n = 5output − 159Solution Approach, The general term of the given series isNth term = ( ((2*N + ...

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