Given the series: 387924, ?, 3724, 423, 32, 2
To find the missing number, let's analyze the pattern:
- From 387924 to the missing number (?), there appears to be a removal or rearrangement of digits.
- From the missing number to 3724, digits seem to reduce, suggesting a stepwise decrease by removing digits or dividing.
Notice the trend in the last few terms:
- 3724 → 423 → 32 → 2
Each term appears to be formed by dropping one or more digits or transforming the number:
- 3724 drops the leading digit '7' from 42978 to become 3724.
- 423 drops the leading digit '7' from 3724.
- 32 drops the '4' from 423.
- 2 drops the '3' from 32.
Given this, the missing number is 42978, which fits the progression from 387924 to 3724.
Conclusion:
The missing number in the series is 42978.