1/3+1/5+1/7+...1/(2n+1)=1+(1-1/3+1/3-1/5+1/5…-1/2n)*2 =1+(1-1/2n)*2 =1+2-1/n =3-1/n
1/3+1/5+1/7+1/9=105/315+63/315+45/315+35/315=248/3159/8-8/7-7/6-6/5-5/4-4/3-3/2-2/1=(1+1+1+1+1+1+1+1)-1/8-1/7-1/6-1/5-1/4-1/3-1/2=248/315