a) Show that α1 = α20 and that α2 = 2α30 b) Determine a3 and a4 in

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a) Show that α1 = α20 and that α2 = 2α30
b) Determine a3 and a4 in terms of a0.
c) Conjecture a formula for αn in terms of α0 when n > 0. Prove your conjecture using the Principle of Mathematical Induction.
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