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Type the missing number in this sequence:, , , , ,
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Q. Type the missing number in this sequence:, , , , ,
- Identify Pattern: We observe the given sequence to identify a pattern: 5, 25, _____, 625, 3,125, 15,625. By looking at the numbers, we can see that each number is a multiple of the previous one. To confirm the pattern, we can divide each number by the one before it.
- Confirm Multiples: Divide by to see if the pattern is consistent: . This indicates that each number might be times the previous number.
- Find Missing Number: Now, divide by the number before it in the sequence (which we are trying to find) to see if the pattern holds: . To find the missing number, we need to perform the inverse operation, which is multiplication: .
- Perform Division: To find the missing number, we divide by : . This should be the missing number in the sequence if the pattern is consistent.
- Check Solution: To check if fits the pattern, we multiply it by to see if we get the next number in the sequence, which is : . This is incorrect, as we expected to get , not . We have made a math error.
