Consider the sequence given by 9 9 7 3, 8' 4' 2 17 17 13 9 5, 2' 3 33 33 25 {an}1 5 5 2, 2' 4, 16' 8 17 11 6, 1, 4' 2 4 32' 16' 8 4 Write down a subsequence of {an}=1 that converges. You need not give a formula, just write out enough terms that the pattern is clear. Find A, where A = {x € R : there exists a subsequence of {an}1 converging to x}. You need not prove your answer.

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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.