Arithmetic Progression

 Coding Problem Keys 

 Arithmetic Progression 

 Problem Statement 

Given the second and the third terms of an AP (-10⁶ <= a₂, a₃ <= 10⁶), find the nth (1 <= n <= 1000) term of the sequence.

 Input Specification 

Input1: Second element of series (Integer)

Input2: Third element of series (Integer).

Input3: Total number of elements in the series (Integer).

 Output Specification 

Return the nth element of the series.

 Example 1 

input1: 1

input2: 2

input3: 4

 Output 1 

output: 3

 Explanation 

a₂ = 1, a₃ = 2, n = 4 d = 1, aₙ = a₄ = 3 (d refers to the common difference between adjacent terms in an arithmetic progression).

 Example 2 

input1: 5

input2: 8

input3: 4

 Sample Output 2 

Output: 11

 Explanation 

a₂ = 5, a₃ = 8, n = 4 d = 3, aₙ = a₄ = 11 (d refers to the common difference between adjacent terms in an arithmetic progression).

 Solution 

 Programming Language: Python 3 Language 

a2=int(input())
a3=int(input())
n=int(input())
d=a3-a2
a=a2-d
print(a+(n-1)*d)

# Published By PKJCODERS

 Programming Language: C Language 

#include <stdio.h>
int NthTerm(int a2, int a3, int n){
    int d,a;
    d=a3-a2;
    a=a2-d;
    return a+(n-1)*d;
}
int main(){
    int a2, a3, n;scanf("%d%d%d", &a2, &a3, &n);
    printf("%d",NthTerm(a2, a3, n));
}

// Published By PKJCODERS

 (Note: Incase If the code doesn't Pass the output kindly comment us with your feedback to help us improvise.)