Final answer:
The sequence 100, 99, 96, 91 shows a pattern where the next number is obtained by subtracting successively larger numbers by increments of 2. Following this pattern, the next number is 84.
Step-by-step explanation:
The sequence provided is 100, 99, 96, 91 and we are looking for the next number in the sequence. The pattern in this sequence is subtracting successively larger numbers: 100 (no subtraction), 99 (100-1), 96 (99-3), 91 (96-5). The subtraction amounts are increasing by 2 each time: 1, 3, 5, and so the next subtraction should be 7.
Therefore, to find the next number, we subtract 7 from the last number in the sequence:
91 - 7 = 84.
The next number in the sequence is 84.