Find the next number in the series: 66, 63, 57, 45, …?
- 33
- 27
- 21
- 18
Explanation
Step 1: Find the differences between consecutive terms
66 → 63 → difference = 66 − 63 = 3
63 → 57 → difference = 63 − 57 = 6
57 → 45 → difference = 57 − 45 = 12
So the differences are: 3, 6, 12, …
Step 2: Observe the pattern in differences
3 × 2 = 6
6 × 2 = 12
Pattern: The difference doubles each time.
Next difference = 12 × 2 = 24
Step 3: Find the next number
Last number = 45
Subtract next difference: 45 − 24 = 21
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