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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: Identify the pattern in the sequence.The sequence is , , , , , . We need to determine if there is a common ratio or a common difference that can help us find the missing number.
- Check Type: Check if the sequence is arithmetic or geometric.An arithmetic sequence has a common difference between terms, while a geometric sequence has a common ratio. By looking at the given numbers, we can see that each term seems to be a multiple of the previous term, suggesting a geometric sequence.
- Calculate Ratio: Calculate the common ratio using the terms provided.We can use the terms and to find the common ratio. Divide by to get the common ratio.Common Ratio:
- Find Missing Number: Use the common ratio to find the missing number.If we divide by the common ratio, we should get the missing number.Missing Number = Missing Number =
- Verify Pattern: Verify the pattern with the next term.To ensure that is the correct missing number, multiply it by the common ratio and check if the result is the next term in the sequence.Since is the next term in the sequence, our missing number is correct.
