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Select the number from among the given options that can replace the question mark (?) in the following series.
410, 210, 110, 60, 35, ?
23
25
20
22.5
- Let's look for a pattern in the series: 410, 210, 110, 60, 35, ?
- Start by observing the differences between consecutive numbers:
- 410 to 210 is a decrease of 200
- 210 to 110 is a decrease of 100
- 110 to 60 is a decrease of 50
- 60 to 35 is a decrease of 25
- Notice the pattern: each difference is half of the previous difference.
- This suggests the next difference should be half of 25, which is 12.5.
- Subtract 12.5 from 35 to find the next number in the series: 35 - 12.5 = 22.5.
- Therefore, the correct option is Option 4: 22.5
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