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Mathematics, 26.10.2019 23:43 2alshawe201

Asequence is defined recursively by: a_{k} =2^{k} -a_{k-1} ,∀k∈z, k≥1 and a_{0} =1

a.) use iteration to guess an explicit formula for the sequence. express your answer in simplest form.
b.) use mathematical induction to prove that your formula is correct.

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Asequence is defined recursively by: [tex]a_{k} =2^{k} -a_{k-1} ,[/tex]∀k∈z, k≥1 and [tex]a_{0} =1[...
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