Question: Let a1, a2, a3,..... be the integer sequence defined recursively by (1) a1 = 1; and (2) For all n Z+ where n >

Let a1, a2, a3,..... be the integer sequence defined recursively by
(1) a1 = 1; and
(2) For all n ∈ Z+ where n > 2, an = 2a [n/2]
(a) Determine an for all 2 < n < 8.
(b) Prove that an < n for all n ∈ Z+.

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a a 2 2a 22 2a 1 2 a 3 2a 22 2a 1 2 a 4 2a 42 2a 2 4 a 5 2a 52 2a 2 4 a 6 2a 62 2a 3 4 a ... View full answer

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