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Type the next number in this sequence:\newline3, 4, 6, 9, 13, _3,\ 4,\ 6,\ 9,\ 13,\ \_

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Full solution

Q. Type the next number in this sequence:\newline3, 4, 6, 9, 13, _3,\ 4,\ 6,\ 9,\ 13,\ \_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe differences between consecutive terms are as follows:\newline4−3=14 - 3 = 1\newline6−4=26 - 4 = 2\newline9−6=39 - 6 = 3\newline13−9=413 - 9 = 4\newlineThe pattern in the differences is increasing by 11 each time.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern continues, the next difference should be 55, since the last difference was 44.
  3. Calculate Next Number: Calculate the next number in the sequence.\newlineTo find the next number, add the next difference to the last number in the sequence:\newline13+5=1813 + 5 = 18

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