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Type the missing number in this sequence:\newline____\_\_\_\_, 17-17, 9-9, 1-1, 77, 1515

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Q. Type the missing number in this sequence:\newline____\_\_\_\_, 17-17, 9-9, 1-1, 77, 1515
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence is 17-17, 9-9, 1-1, 77, 1515. To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant.
  2. Calculate Differences: Calculate the difference between the consecutive terms.\newlineThe difference between 9-9 and 17-17 is 9(17)=8-9 - (-17) = 8.\newlineThe difference between 1-1 and 9-9 is 1(9)=8-1 - (-9) = 8.\newlineThe difference between 77 and 1-1 is 7(1)=87 - (-1) = 8.\newlineThe difference between 1515 and 77 is 17-1711.\newlineThe common difference is 17-1722, confirming that the sequence is arithmetic.
  3. Find Missing Number: Find the missing number in the sequence.\newlineTo find the missing number before 17-17, we subtract the common difference from 17-17.\newlineMissing number = 178=25-17 - 8 = -25.

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