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Type the next number in this sequence:\newline4,4,4,4,5,5,7,7,10,10,_____\_\_\_\_\_

Full solution

Q. Type the next number in this sequence:\newline4,4,4,4,5,5,7,7,10,10,_____\_\_\_\_\_
  1. Identify Differences: To find the pattern in the sequence, we need to look at the differences between consecutive numbers.\newlineDifference between second and first number: 44=04 - 4 = 0\newlineDifference between third and second number: 54=15 - 4 = 1\newlineDifference between fourth and third number: 75=27 - 5 = 2\newlineDifference between fifth and fourth number: 107=310 - 7 = 3\newlineIt seems that the differences are increasing by 11 each time.
  2. Predict Next Number: If the pattern of increasing differences by 11 continues, the next difference should be 44 (since the last difference was 33).\newlineTo find the next number in the sequence, we add this difference to the last number in the sequence.\newlineNext number in the sequence: 10+4=1410 + 4 = 14
  3. Verify Pattern: We should check the pattern to ensure no mistakes were made.\newlineStarting with the first difference of 00, each subsequent difference increases by 11: 00, 11, 22, 33, and then 44.\newlineThis confirms our pattern and calculation.

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