Do you know the value of - 1-2+3-4+5-6+.........=1/4 Let S=1-2+3-4+....... _(1) Now adding s in equation (1) like binomial S=1-2+3-4+....... S= 1-2+3-4+....... 2S=-1+1-1+1-....... Now multiply by minus sign -2S=1-1+1-1+1-.......... We know that 1-1+1-1+1-........=1/2 //See my previous blog. Now -2S=1/2 S = -1/4
psuedo math..... DO YOU KNOW SUM OF 1-1+1-1+1-...........=1/2 》 s=1-1+1-1+1-........ now multiply by minus sign -s=-1+1-1+1-1+........ now add 1on both side 1-s=1-1+1-1+1-....... rhs value is equal to s then 1-s=s 2s=1 s=1/2