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Type the next number in this sequence:\newline4,  4,  5,  7,  10,  14,  19,  _4,\ \ 4,\ \ 5,\ \ 7,\ \ 10,\ \ 14,\ \ 19,\ \ \_

Full solution

Q. Type the next number in this sequence:\newline4,  4,  5,  7,  10,  14,  19,  _4,\ \ 4,\ \ 5,\ \ 7,\ \ 10,\ \ 14,\ \ 19,\ \ \_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe need to look at the differences between consecutive terms to see if there is a pattern.\newlineDifference between second and first term: 44=04 - 4 = 0\newlineDifference between third and second term: 54=15 - 4 = 1\newlineDifference between fourth and third term: 75=27 - 5 = 2\newlineDifference between fifth and fourth term: 107=310 - 7 = 3\newlineDifference between sixth and fifth term: 1410=414 - 10 = 4\newlineDifference between seventh and sixth term: 1914=519 - 14 = 5\newlineIt seems that the difference between consecutive terms is increasing by 11 each time.
  2. Find Next Term: Predict the next difference and find the next term.\newlineIf the pattern continues, the difference between the next term and the seventh term should be 66 (since the last difference was 55).\newlineSo, the next term should be: 19+6=2519 + 6 = 25

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