Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additional notes, can be found here: http://www.mrbartonmaths.com/richtasks.htm
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Love the open ended discovery nature of this task. The Excel sheet is beautifully formatted for easy investigation as well. A possible question might be "Is there a pattern between the type of sequence/progression (arithmetic vs geometric for example) and the diffy number?"
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