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So the sequence starts with 1 and then you add 5 to get 6 and after that you add twice what you added to get the previous term. This is probably not the way your daughter would say it but the key is that what you add doubles each time. For d) rather than adding to get the next term look at multiplying. I hope this helps,
Hi Baffled, You have different kinds of sequences, but the way first thing I try a) 1, 6, 16, 36, _ 61 = 5 and 16  6 = 10 and 36  16 = 20, so the first sequence of b) 2, 6, 14, 30, _ First sequence of gaps: 4, 8, 16...hmmm....these could be doubling too! c) 1, 8, 22, 50, _ First sequence of gaps: 7, 14, 28. d) 3, 9, 27, _ First gaps: 6, 18. nothing obvious there. Maybe we should just look at the original terms themselves! Aren't e) 2, 7, 17, 37, _ Can you get this one now that I showed you how I solved the others? Cheers,  


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