1/2+1/6+1/18+1/54+1/162+1/486=?

问题描述:

1/2+1/6+1/18+1/54+1/162+1/486=?

182/243

333/486=111/162

121/81

243分之182

设s=1/2+1/6+1/18+1/54+1/162+1/486
3s=3/2+1/2+1/6+1/18+1/54+1/162
3s-s=1-1/486
2s=485/486
s=485/972
1/2+1/6+1/18+1/54+1/162+1/486=485/972

1/2+1/6+1/18+1/54+1/162+1/486
=(1+3+9+27+81+243)/486
=364/486