Consider the recursively defined sequence s1 = 1 and sn+1 = 1 / (3-sn) for n  ≥ 1. i. Prove that sn converges. (Hint: is the sequence monotone?) ii. Solve to find the limit.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.