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Type the next number in this sequence:\newline4,  5,  7,  10,  14,  __4,\;5,\;7,\;10,\;14,\;\_\_

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Full solution

Q. Type the next number in this sequence:\newline4,  5,  7,  10,  14,  __4,\;5,\;7,\;10,\;14,\;\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe differences between consecutive terms are: 5−4=15 - 4 = 1, 7−5=27 - 5 = 2, 10−7=310 - 7 = 3, 14−10=414 - 10 = 4.\newlineThe pattern in the differences is that they are increasing by 11 each time.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern of increasing by 11 continues, the next difference should be 4+1=54 + 1 = 5.
  3. Calculate Next Number: Calculate the next number in the sequence.\newlineTo find the next number, add the predicted difference to the last number in the sequence: 14+5=1914 + 5 = 19.

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