A. Consider the recursively defined sequence s1 = 1 and Sn+1 = 1 / (7 - Sn) for n > 1. i. Prove that sn converges. (Hint: is the sequence monotone?) %3D ii. Solve to find the limit.


A. Consider the recursively defined sequence s1 = 1 and<br>Sn+1 = 1 / (7 - Sn) for n > 1.<br>i. Prove that sn converges. (Hint: is the sequence<br>monotone?)<br>%3D<br>ii. Solve to find the limit.<br>

Extracted text: A. Consider the recursively defined sequence s1 = 1 and Sn+1 = 1 / (7 - Sn) for n > 1. i. Prove that sn converges. (Hint: is the sequence monotone?) %3D ii. Solve to find the limit.

Jun 03, 2022
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