RÚT GỌN $B=(1-\frac{1}{2})$ $.(1-\frac{1}{3}).$ $1-\frac{1}{4}…($ $1-\frac{1}{20})$ 09/11/2021 Bởi Eden RÚT GỌN $B=(1-\frac{1}{2})$ $.(1-\frac{1}{3}).$ $1-\frac{1}{4}…($ $1-\frac{1}{20})$
Đáp án: Giải thích các bước giải: $B=$$\frac{1}{2}$.$\frac{2}{3}$.$\frac{3}{4}$….. $\frac{19}{20}$= $\frac{1.2.3…..19}{2.3.4…..20}$= $\frac{1}{20}$ Bình luận
`B=(1 – 1/2).(1 – 1/3).(1 – 1/4)…(1 – 1/20)` `B=(2/2 – 1/2).(3/3 – 1/3).(4/4 – 1/4)…(20/20 – 1/20)` `B=1/2 . 2/3 . 3/4 … 19/20` `B=(1.2.3…19)/(2.3.4…20)` `B=1/20` Bình luận
Đáp án:
Giải thích các bước giải:
$B=$$\frac{1}{2}$.$\frac{2}{3}$.$\frac{3}{4}$….. $\frac{19}{20}$= $\frac{1.2.3…..19}{2.3.4…..20}$= $\frac{1}{20}$
`B=(1 – 1/2).(1 – 1/3).(1 – 1/4)…(1 – 1/20)`
`B=(2/2 – 1/2).(3/3 – 1/3).(4/4 – 1/4)…(20/20 – 1/20)`
`B=1/2 . 2/3 . 3/4 … 19/20`
`B=(1.2.3…19)/(2.3.4…20)`
`B=1/20`