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Type the next number in this sequence:\newline00, 11, 33, 66, 1010, _\_

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Full solution

Q. Type the next number in this sequence:\newline00, 11, 33, 66, 1010, _\_
  1. Identify Pattern: We need to identify the pattern in the sequence. Let's look at the differences between consecutive numbers:\newline1−0=11 - 0 = 1\newline3−1=23 - 1 = 2\newline6−3=36 - 3 = 3\newline10−6=410 - 6 = 4\newlineIt seems that the difference between each number and the one before it increases by 11 each time.
  2. Find Next Number: To find the next number in the sequence, we add 55 to the last number, since the last difference was 44 and we are increasing by 11. \newline10+5=1510 + 5 = 15
  3. Check Pattern: We check our pattern to ensure that the differences continue to increase by 11. If we add 1515 to the sequence, the difference between 1515 and 1010 is indeed 55, which is 11 more than the previous difference of 44.

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