12. Let S be the empty set. Add the elements of {1, 2} to S, and after 1 minute randomly remove 1 element of S. Next add the 4 elements of {3, 4, 5, 6} to S and after 30 sec randomly remove 2 of the 5 elements of S. Continue this process forever, each time doubling the number of elements added and removed and halving the time. To the nearest hundredth of a minute, find the average length of time 1 remains in S. 1.30 1.32 1.34 1.36 1.38 O O O O O

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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.