This may not make sense. There is ½ of an integer, but what is the first ½?
Just consider this formula s=½n(n+1), which gives the sum of the first n integers, s. When we plot a graph of s versus n, we have
From the graph, the s value will give the sum of the first n integer. Like reading off from the graph. So to find the sum of the first ½ integer, just substitute n=1/2 and we have s = 3/8. This applies to any fraction.
Ya the sum of the first ½ integer is 3/8. It is by no means any serious mathematics. Just some food for thought.
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