2. Proof by Cases Suppose you are given four natural numbers w, x,y,z e N such that w > x and y > z. Show that ly – w| + |z – x| < ly – x| + |z – w). (Hint: Using without loss of generality will allow you to cut down on the number of cases!)

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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.