Question Number 104173 by Dwaipayan Shikari last updated on 19/Jul/20

 For fun!  S_n =1+2+3+4+5+6+7+...  2S_n =    2  +   4      +  6      +..  −S_n =1+3+5+7+9+11+.....  −(−(1/(12)))=1+3+5+7+9+11+...  1+3+5+7+9+....=(1/(12))    S_n =1+2+3+4+5+6+7+....  S_n =1+(1+1)+(1+2)+(1+3)+...  S_n =(1+1+1+....)+S_n   1+1+1+1+1+1+....=0