public class NextInSeries {
/**
25 - 14 = 11
47 - 25 = 22
91 - 47 = 44
11 -> 22 -> 44 -> 88
91 + 88 = 179
*/
/**
Compute the next number in the series using the rule:
- Differences double each step.
- For the sequence 14, 25, 47, 91:
Differences: 11, 22, 44
Next difference = 44 * 2 = 88
Next value = 91 + 88 = 179
*/
public static int nextInSeries(int[] arr) {
if (arr.length < 2) {
throw new IllegalArgumentException("Not enough data to compute next value.");
}
// Last difference
int lastDiff = arr[arr.length - 1] - arr[arr.length - 2];
// Apply doubling rule
return arr[arr.length - 1] + lastDiff * 2;
}
public static void main(String[] args) {
int[] series = {14, 25, 47, 91};
int next = nextInSeries(series);
System.out.println("Next number in the series: " + next);
}
}
/*
run:
Next number in the series: 179
*/
