Xin chào tôi là TVM mong được giúp : ) 2/3+2/6+2/12+2/24+2/48+2/96+2/192 13/09/2021 Bởi Melanie Xin chào tôi là TVM mong được giúp : ) 2/3+2/6+2/12+2/24+2/48+2/96+2/192
– Bài làm : 2/3+2/6+2/12+2/24+2/48+2/96+2/192 <=> 2 ( 1/3 + 1/6 + 1/ 12 + 1/24 + 1/48 + 1/96 + 1/192 ) <=> 2 ( 1/1.3 + 1/ 2.3 + 1/3.4 + 1/ 6.8 + 1/8.10 ) <=> 2/3 + 2 ( 1/2 – 1/4 ) + 2 ( 2/4.6 + 2/6.8 ) :2 <=> 2/3 + 1/2 + 1/8 + 1/23 <=> 127/96 #chucbanhoctot @we are one ~NO COPY~ Chào bn nhé, chào mừng bn đến với Hoidap247 , tvm!! Bình luận
A = $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ + $\frac{2}{192}$ ⇒ 2A = $\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ ⇒ 2A – A = ($\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$) – ($\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ + $\frac{2}{192}$) ⇒ A = $\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ – $\frac{2}{3}$ – $\frac{2}{6}$ – $\frac{2}{12}$ – $\frac{2}{24}$ – $\frac{2}{48}$ – $\frac{2}{96}$ – $\frac{2}{192}$ ⇒ A = $\frac{4}{3}$ – $\frac{2}{192}$ ⇒ A = $\frac{256}{192}$ – $\frac{2}{192}$ ⇒ A = $\frac{254}{192}$ = $\frac{127}{96}$ Bình luận
– Bài làm :
2/3+2/6+2/12+2/24+2/48+2/96+2/192
<=> 2 ( 1/3 + 1/6 + 1/ 12 + 1/24 + 1/48 + 1/96 + 1/192 )
<=> 2 ( 1/1.3 + 1/ 2.3 + 1/3.4 + 1/ 6.8 + 1/8.10 )
<=> 2/3 + 2 ( 1/2 – 1/4 ) + 2 ( 2/4.6 + 2/6.8 ) :2
<=> 2/3 + 1/2 + 1/8 + 1/23
<=> 127/96
#chucbanhoctot
@we are one
~NO COPY~
Chào bn nhé, chào mừng bn đến với Hoidap247 , tvm!!
A = $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ + $\frac{2}{192}$
⇒ 2A = $\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$
⇒ 2A – A = ($\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$) – ($\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ + $\frac{2}{192}$)
⇒ A = $\frac{4}{3}$ + $\frac{2}{3}$ + $\frac{2}{6}$ + $\frac{2}{12}$ + $\frac{2}{24}$ + $\frac{2}{48}$ + $\frac{2}{96}$ – $\frac{2}{3}$ – $\frac{2}{6}$ – $\frac{2}{12}$ – $\frac{2}{24}$ – $\frac{2}{48}$ – $\frac{2}{96}$ – $\frac{2}{192}$
⇒ A = $\frac{4}{3}$ – $\frac{2}{192}$
⇒ A = $\frac{256}{192}$ – $\frac{2}{192}$
⇒ A = $\frac{254}{192}$ = $\frac{127}{96}$