Skill Rack INLAB 4

Solutions for Skillrack CSE1002 Inlab 4

Total time : 20 mins

Challenges : 1

Question (Arithmetic Progression)

An Arithmetic Progression(AP) is described by the first term ‘f’ and the common difference’. The n-th term of an AP is described by a_n= f+(n-1)d. The progression 1,4,9 .. is an AP.  Given the f,d n, k, p , q, Develop a program in C++ using the class, to represent an arithmetic progression and provide methods to compute:

(i)  n-th term of the arithmetic progression

(ii)  r such that a_r=k. If there is no r such that a_r=k, the program should print zero.

(iii) Absolute Difference between a_p and a_q

Input Format:
First line contains the first term of the AP

Next line contains the common difference d

Next line contains the value of k

Next line contains the value of p

Next line contains the value of q

Output Format:
First line should contain the nth of the arithmetic progression

Next line should contain the value of ‘r’

Next line should contain the absolute difference between a_p and a_q
Boundary Conditions:
a , d are integers

n,p,q are all positive integers

Solution

#include<iostream>

#include<cmath>

using namespace std;

class apr

{

int first;

int diff;

public:

void get();

int compute_term(unsigned int n);

int find_r(int k);

int abs_diff(unsigned int p,unsigned int q);

};

void apr :: get()
{
 cin>>first>>diff;
}
int apr :: compute_term(unsigned int n)
{
 return(first+(n-1)*diff);
}
int apr :: find_r(int k)
{
 if((k-first)%diff==0)
        return(((k-first)/diff)+1);
        else
        return(0);
}
int apr :: abs_diff(unsigned int p,unsigned int q)
{
 return(abs((p-q)*diff));
}

int main()

{

apr ap1;

unsigned int n,p,q;

int k;

ap1.get();

cin>>n;

cout<<ap1.compute_term(n)<<endl; cin>>k;

cout<<ap1.find_r(k)<<endl; cin>>p>>q;

cout<<ap1.abs_diff(p,q)<<endl;

}

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