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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 1, 5, 25, _____, 625, 3,125. We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant).Looking at the sequence, we can see that each term seems to be a multiple of the previous term, suggesting a geometric sequence.
- Determine Common Ratio: Determine the common ratio of the geometric sequence.To find the common ratio, we can divide a term by its preceding term. Using the second and first term: .The common ratio appears to be .
- Verify Ratio: Verify the common ratio with another pair of consecutive terms.Using the last two terms provided: .This confirms that the common ratio is indeed .
- Find Missing Term: Use the common ratio to find the missing term.The term before the missing number is . To find the missing term, we multiply by the common ratio of ..The missing number in the sequence should be .
