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