To determine the next number in the series 100, 96, 104, 88, 120, 56, we need to identify a pattern among the numbers. Let’s break down the series step by step:
- Starting with 100
- Subtract 4 to get 96
- Add 8 to get 104
- Subtract 16 to get 88
- Add 32 to get 120
- Subtract 64 to get 56
If we look closely, we can see that the pattern alternates between subtraction and addition. Additionally, the absolute values of the numbers being added or subtracted are doubling each time:
- -4
- +8
- -16
- +32
- -64
Continuing with this pattern, after 56, we would need to add 128 (doubling the last added number, which was 64):
- Add 128 to 56 to find the next number.
Therefore:
- 56 + 128 = 184
So, the next number in the series is 184.