\(\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{48}+\frac{1}{96}+\frac{1}{192}\)

= \(\left(\frac{1}{3}+\frac{1}{6}\right)+\left(\frac{1}{12}+\frac{1}{24}\right)+\left(\frac{1}{48}+\frac{1}{96}\right)+\frac{1}{192}\)

=               \(\left(\frac{1}{2}+\frac{1}{8}\right)+\left(\frac{1}{32}+\frac{1}{192}\right)\)

=                              \(\frac{5}{8}+\frac{1}{192}\)

=                                    \(\frac{121}{192}\)

ko ai bết đâu

=\(\dfrac{64}{192}+\dfrac{32}{192}+\dfrac{16}{192}+\dfrac{8}{192}+\dfrac{4}{192}+\dfrac{2}{192}+\dfrac{1}{192}\)

= \(\dfrac{127}{192}\)

= \(\frac{3071}{3072}\)nha !

chắc vậy ! 

ko đúng

sai de roi .neu dung thi viet lai moi phan so khi tu va mau nhan voi 2.bo 2 ra ngoai roi tach mau thanh 2 so lien tiep

oke.hieu chua

N=7/2(2/1.3+....+2/13.15)

N=7/2.(1/1-1/3+.....+1/13-1/15)

N=7/2.(1-1/15)

N=7/2.(14/15)

N=7.14/2.15

Bạn giải M luôn dc ko?

Dễ lắm bạn.Suy nghĩ 1 tí là ra

\(=2\left(\frac{1}{3}+\frac{1}{6}+...+\frac{1}{192}\right)\)

\(=2\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+...+\frac{1}{96}-\frac{1}{192}\right)\)

\(=2\left(1-\frac{1}{192}\right)\)

\(=2\times\frac{191}{192}\)

\(=\frac{191}{96}\)

\(A=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{24}+...+\dfrac{1}{192}\)

\(2A=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{96}\)

\(A=\dfrac{1}{3}-\dfrac{1}{192}=\dfrac{64}{192}-\dfrac{1}{192}=\dfrac{63}{192}=\dfrac{21}{64}\)