Mathematics, 01.09.2020 23:01 mmoore36

Let S1 denote the sequence (1,1).For nâ‰¥1, we build a sequence Sn+1 by copying sequence Sn, inserting blanks between consecutive terms, and filling each blank with the sum of the two terms it's between. Thus we haveS2S3S4=(1,2â€",1),=(1,3â€",2,3â €",1),=(1,4â€",3,5â€",2,5â€",3,4â€" ,1),and so on. What is the sum of all entries in S7?What is the largest entry in sequence S11?What fraction of the terms of S64 are odd?

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Let S1 denote the sequence (1,1).For nâ‰¥1, we build a sequence Sn+1 by copying sequence Sn, inserti...