Problem 5. Arithmetic progression

 /*Arithmetic Progression

Given first 3 number of a arthimetic progression, predict the next number.

For details about arithmetic progression, you can visit the following
link https://en.wikipedia.org/wiki/Arithmetic_progression

Input
3 integers, each should be taken as a input

Output
single integer

Example
Input:

2

5

8

Output:

11
*/

let fs = require("fs");
let data = fs.readFileSync(0, 'utf-8');
let idx = 0;
data = data.split('\n');

function readLine() {
idx++;
return data[idx - 1].trim();
}
//.......................................................................................

// If the intial term of an arithmetic progression is a and the common difference
// of successive members is d , then the n-th term of the sequence (a_n) is given by:

// a_n = a+(n-1)d,

//** Extra information about A.P
//If there are m terms in the A.P , then a_m represents the last term which is given by:
a_m = a +(m-1)d.

let a = parseInt(readLine()); // 2

let b = parseInt(readLine()); //5

let c = parseInt(readLine()); // 8

d = b - a; // or
// let d = b - a; (both are same)

let nthTerm = a + (4 - 1) * d; // here nthTerm is 4 therefore we have used 4
in the formula of A.P

console.log(nthTerm); // 11

Terminal:-
Nobins-MacBook-Pro:STOC_MODULE 11SEPT 2022 nobinpunyo$ node Arithmeticprogression.js <input.txt 11



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