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Type the missing numbers in this sequence:\newline____\_\_\_\_, 115115, 113113, 111111, ____\_\_\_\_, 107107

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Q. Type the missing numbers in this sequence:\newline____\_\_\_\_, 115115, 113113, 111111, ____\_\_\_\_, 107107
  1. Identify Pattern: Identify the pattern in the given sequence.\newlineThe sequence provided is 115115, 113113, 111111, 107107, with two missing numbers, one at the beginning and one in the middle. By observing the numbers, we can see that they are decreasing.
  2. Determine Common Difference: Determine the common difference in the sequence.\newlineTo find the common difference, subtract a term from the term that follows it: 113115=2113 - 115 = -2. Then, check this with another pair: 111113=2111 - 113 = -2. The common difference is 2-2.
  3. Find First Missing Number: Find the first missing number in the sequence.\newlineTo find the missing number before 115115, we add the common difference to 115115 (since we are moving backward in the sequence): 115+(2)=1152=113115 + (-2) = 115 - 2 = 113. However, 113113 is already in the sequence, which means we made a mistake. We should subtract the common difference instead: 115(2)=115+2=117115 - (-2) = 115 + 2 = 117.

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