Let ao = = 3, and define two sequences recursively by and bn = an ...

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Let ao = = 3, and define two sequences recursively by and bn = √an · bn-1. Prove that {an} is monotonically decreasing and is convergent, and prove that {bn} is monotonically increasing and convergent. 2√3 and bo an 2an-1 bn-1 an-1 + bn-1 Let ao = = 3, and define two sequences recursively by and bn = √an · bn-1. Prove that {an} is monotonically decreasing and is convergent, and prove that {bn} is monotonically increasing and convergent. 2√3 and bo an 2an-1 bn-1 an-1 + bn-1