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I did a puzzle that made me calculate the last number, and I couldn't figure it out so I looked at the answer, but still don't understand how I get to that answer.

Number sequence is
4 28 68 218 44 46 268

And the following number (the answer) is:
778

How do I get to 778 using all the numbers?

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  • $\begingroup$ What operations can we use? $\endgroup$ – Duck Dec 9 '18 at 19:35
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If we calculate the differences between a(n+1) - a(n), we get the following sequence:
24 40 150 -174 2 222
Googling this leads to an another sequnce question on PSE. Now this one has multiple choise of answers but oddly enough the accepted solution referes to the answer being the only odd number. I guess in this case it will be the opposite - the answer might have been the only even number.

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  • $\begingroup$ Thanks for your answer. I agree that this is the most likely solution. I thought that the logic in a number sequence puzzle would lead to an answer, but in this case it seems there is only logic if you know the puzzle/answer combination. $\endgroup$ – Gert Kommer Dec 17 '18 at 15:30

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