A sequence is defined recursively as follows: a0 = 2 and ak = 4ak−1 + 1 for all k ≥ 1. It is proposed that an expl

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A sequence is defined recursively as follows:a0 = 2 and ak =4ak−1 + 1 for all k ≥1. It is proposed that an explicitformula for this sequence is:
an=7∙4n-13
Use mathematical induction to provethat this proposed formula is correct.

A Sequence Is Defined Recursively As Follows A0 2 And Ak 4ak 1 1 For All K 1 It Is Proposed That An Expl 1 (22.53 KiB) Viewed 56 times

A sequence is defined recursively as follows: ao = 2 and ak= 4ak-1 + 1 for all k ≥ 1. It is proposed that an explicit formula for this sequence is: 7.4¹ 1 3 Use mathematical induction to prove that this proposed formula is correct. an = -