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Type the next number in this sequence:\newline11, 22, 44, 77, 1111, 1616, 2222, _\_

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Full solution

Q. Type the next number in this sequence:\newline11, 22, 44, 77, 1111, 1616, 2222, _\_
  1. Identify Pattern: To find the pattern, let's look at the differences between consecutive numbers in the sequence.\newline2−1=12 - 1 = 1\newline4−2=24 - 2 = 2\newline7−4=37 - 4 = 3\newline11−7=411 - 7 = 4\newline16−11=516 - 11 = 5\newline22−16=622 - 16 = 6\newlineIt seems that the difference between each number and the one before it increases by 11 each time.
  2. Predict Next Number: If the pattern continues, the difference between the next number and 2222 should be 77, since the last difference was 66. So, we add 77 to 2222 to find the next number in the sequence. 22+7=2922 + 7 = 29
  3. Verify Pattern: We check the pattern to ensure that the differences are indeed increasing by 11 each time.1,2,4,7,11,16,22,291, 2, 4, 7, 11, 16, 22, 29The differences are: 1,2,3,4,5,6,71, 2, 3, 4, 5, 6, 7The pattern holds true, so there is no math error.

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