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Program to find N-th term of series 0, 2,1, 3, 1, 5, 2, 7, 3...in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 240 Views

In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 0, 2, 1, 3, 1, 5, 2, 7, 3...in C++.Problem Description − We are given the Series −0, 2, 1, 3, 1, 5, 2, 7, 3...N TermTo find the Nth term of this series, we will formula the general term of the series and then find the Nth term.Let’s take an example to understand the problem, Input − N = 7Output − 2Solution Approach :To solve the problem and find the general formula for the series. We need ...

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Program to find N-th term of series 0, 9, 22, 39, 60, 85, 114, 147, ...in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 221 Views

In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 0, 9, 22, 39, 60, 85, 114, 147, …in C++.Problem Description − We are given the Series −0, 9, 22, 39, 60, 85, 114, 147, ....NtermsTo find the Nth term of this series, we will formula the general term of the series and then find the Nth term.Let’s take an example to understand the problem, Input − N = 6Output − 85Solution Approach:To find the general term of the series. Let’s observe the growth of the values of ...

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Program to find N-th term of series 1, 3, 12, 60, 360...in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 229 Views

In this problem, we are given a number N. Our task is to create a Program to find N-th term of series 1, 3, 12, 60, 360...in C++.Given Series1, 3, 12, 60, 360, 2520 … N TermsLet’s take an example to understand the problem, Input − N = 6Output − 2520Solution Approach:The general term formula for this one is a bit tricky. So, the increase in the series values is huge. So, there can be a few possibilities factorial or exponentials. So, we will first consider factorial, and on observing we can see the growth half as half of the ...

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Program to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, ...In C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 164 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 0, 11, 28, 51, 79, 115, 156, 203, … In C++.Problem Description − To find the Nth terms of the series −0, 11, 28, 51, 79, 115, 156, 203, … N-th term.Let’s take an example to understand the problem,Input − N = 5Output − 79Solution Approach:The general formula for nth term of the series is −Tn = 3*(N*N) + 2*N - 5Program to illustrate the working of our solution,#include using namespace std; int findNTerm(int N) { int nthTerm = ( (3*N*N) + 2*N - 5); return nthTerm; } int main() { int N = 9; cout

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Program to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, ...in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 140 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 2, 12, 28, 50, 77, 112, 152, 198, …in C++.Problem Description − To find the N-th term of the series.2, 12, 28, 50, 77, 112, 152, 198, ...N termsWe will find a general for the series.Let’s take an example to understand the problem, Input − N = 6Output − 112Solution Approach:Here, the series is increasing in parabolic form, so the general term will be a quadratic equation.So, the general formula for the series isTN = 3*(N*N) + N ...

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Program to find N-th term of series 1 4 15 24 45 60 92... in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 179 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 1 4 15 24 45 60 92... in C++.Problem description − To find the nth term of the series −1, 4, 15, 24, 45, 60, 92, 112 … N termsWe will find the general formula for the series.Let’s take an example to understand the problem, Input − N = 6Output − 60Solution Approach, The general term of the series is based on whether the value of N is even or odd. This type of series is a bit ...

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Program to find N-th term of series 2, 4, 3, 4, 15... in C++

Ayush Gupta
Ayush Gupta
Updated on 03-Oct-2020 268 Views

In this problem, we are given a number N. Our task is to create a program to find N-th term of series 2, 4, 3, 4, 15… in C++.Problem Description − To find the sum of the given series, 2, 4, 3, 4, 15, 0, 14, 16 .... N termsWe will find the formula for the general term of the series.Let’s take an example to understand the problem, Input − N = 9Output − 9Solution Approach:The increase of the values in the series is linear i.e. no square values are in the series. Also, it’s value depends on other factors ...

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Program to find number of solutions in Quadratic Equation in C++

Ayush Gupta
Ayush Gupta
Updated on 01-Oct-2020 401 Views

In this problem, we are given a quadratic equation of type ax2 + bx + c, where a, b and c are constants. Our task is to create a program to find number of solutions in Quadratic Equation in C++.Problem Description − Here, we need to find the numbers of solutions for a quadratic equation that can have at max 2 solutions.Let’s take a few examples to understand the problem, Example 1:Input − 3x2 + 7x + 4Output − 2Explanation − the two solutions of the equation are 1 and 4/3.Example 2:Input − x2 - 4x + 4Output − 1Explanation ...

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Program to find number of squares in a chessboard in C++

Ayush Gupta
Ayush Gupta
Updated on 01-Oct-2020 2K+ Views

In this problem, we are given the size of a chessboard. Our task is to create a program to find number of squares in a chessboard in C++.Problem Description − To find the number of squares in a chessboard. We will have to calculate all the combinations of the square that are inside the chessboard i.e. we will consider squares of side 1x1, 2x2, 3x3 … nxn.Let’s take an example to understand the problem, Input: n = 4.Output: 30Squares of size 1x1 -> 16 Squares of size 2x2 -> 9 Squares of size 3x3 -> 4 Squares of size 4x4 ...

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Program to find Perimeter / Circumference of Square and Rectangle in C++

Ayush Gupta
Ayush Gupta
Updated on 01-Oct-2020 576 Views

In this problem, we are given the side of a square (A) and the length and breadth of a rectangle (L and B). Our task is to create a Program to find Perimeter / Circumference of Square and Rectangle in C++.Problem Description:To find the circumference of a square, we need the side of the square (a). For that, we will use the formula for the perimeter of the square which is 4a.To find the circumference of a rectangle, we need the Length (L) and breadth (B) of the rectangle. For that, we will use the formula for the perimeter of ...

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