38. Decreasing Half-Step Multipliers Find the missing number in the following sequence: 17, ?, 607.75, 2734.875, 9572.0625 What number should replace the question mark? Added 26 October 2016 Show Hint Show Solution Hint: Look at the factor you need to multiply each term by to obtain the next one. Solution: Compute the ratio between each pair of known consecutive terms: 607.75 ÷ 2734.875 = 4.5, 2734.875 ÷ 9572.0625 = 3.5. We observe that these multipliers decrease by 1 while keeping a fractional part of 0.5: 6.5, 5.5, 4.5, 3.5. Therefore the factor before 5.5 must be 6.5. Missing term = 17 × 6.5 = 110.5. Answer: 110.5
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