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Type the next number in this sequence:\newline3,  5,  8,  12,  17,  __3,\;5,\;8,\;12,\;17,\;\_\_

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Full solution

Q. Type the next number in this sequence:\newline3,  5,  8,  12,  17,  __3,\;5,\;8,\;12,\;17,\;\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLook at the differences between consecutive terms to see if there is a pattern.\newline5−3=25 - 3 = 2\newline8−5=38 - 5 = 3\newline12−8=412 - 8 = 4\newline17−12=517 - 12 = 5\newlineThe differences are increasing by 11 each time.
  2. Determine Difference: Determine the difference between the last known term and the next term.\newlineSince the last difference was 55, the next difference should be 66.
  3. Add to Find Missing Number: Add the next difference to the last known term to find the missing number. 17+6=2317 + 6 = 23 The next number in the sequence should be 2323.

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