Consider the following sequence, un+1 = log2 (n +1+ un) for n EN' where u1 = 1. Show that for each n EN', un+1 > un. You can use without proof the fact that the function log2(x) is an increasing function when x 21 (i.e., if x>x' 2 1, log2(x) > log2(x')).

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