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Type the missing numbers in this sequence:\newline____\_\_\_\_, −114-114, ____\_\_\_\_, −102-102, −96-96, −90-90, −84-84

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Full solution

Q. Type the missing numbers in this sequence:\newline____\_\_\_\_, −114-114, ____\_\_\_\_, −102-102, −96-96, −90-90, −84-84
  1. Determine Pattern: First, we need to determine the pattern in the sequence. We can do this by looking at the differences between the numbers that are given.\newlineLet's start by finding the difference between −102-102 and −96-96.\newline−96−(−102)=−96+102=6-96 - (-102) = -96 + 102 = 6\newlineNow, let's find the difference between −96-96 and −90-90.\newline−90−(−96)=−90+96=6-90 - (-96) = -90 + 96 = 6\newlineIt seems that the difference between consecutive numbers is 66.
  2. Find First Missing Number: If the difference between each number is 66, we can subtract 66 from −114-114 to find the missing number before it.\newline−114−6=−120-114 - 6 = -120\newlineSo, the first missing number is −120-120.
  3. Find Second Missing Number: Now, let's find the missing number between −114-114 and −102-102. Since we know the difference is 66, we can add 66 to −114-114 to find the next number in the sequence.\newline−114+6=−108-114 + 6 = -108\newlineSo, the second missing number is −108-108.

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