#include <stdio.h>
/*
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.
- Example for the given sequence:
14, 25, 47, 91
Differences: 11, 22, 44
Next difference = 44 * 2 = 88
Next value = last + 88
*/
int next_in_series(const int *arr, int size) {
if (size < 2) {
// Not enough data to compute a difference
return -1;
}
// Last difference
int last_diff = arr[size - 1] - arr[size - 2];
// Apply doubling rule
int next_value = arr[size - 1] + last_diff * 2;
return next_value;
}
int main(void) {
int series[] = {14, 25, 47, 91};
int size = sizeof(series) / sizeof(series[0]);
int next = next_in_series(series, size);
printf("Next number in the series: %d\n", next);
return 0;
}
/*
run:
Next number in the series: 179
*//
