Define a sequence {a„}, by An+1 ɑj = 10. An First, note that a, > 0 for all n. Answer the following questions. (a) Explain why an 2 /2 for all n. (b) Explain why {a„}1 is non-increasing (that is, monotonically decreasing). (c) Explain why the limit lim a„ exists, and find the limit.

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Q: Number 80 in attached image.

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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.