The sum of series 1-2+3-4+5-6…

Let’s say we now know the sum of the series 1-1+1-1+1 … suppose it as s1

now let’s suppose sum of 1-2+3-4+5-6… as s2

let us find s2

s2 = 1-2+3-4+5-6...
2s2 = 1-2+3-4+5-6... +
1-2+3-4+5-6 ...
2s2 = 1-1+1-1+1-1... = s1= 1/2
s2 = 1/4

We now have s2 = 1/4 as the answer of this serie

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