Question: Consider the sequence defined recursively by a 0 = 0, and a n = 2a n-1 + 1 for n >= 1 (a) Compute a

Consider the sequence defined recursively by a0 = 0, and an = 2an-1 + 1 for n >= 1

(a) Compute a1, a2, a3, a4, a5

(b) Conjecture a nonrecursive definition (explicit formula) for this sequence.

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