`\text{Tính}` `P = 3/4 . 8/9 . 15/16 . … . 9999/10000` 23/09/2021 Bởi Arya `\text{Tính}` `P = 3/4 . 8/9 . 15/16 . … . 9999/10000`
Đáp án: 101/200 Giải thích các bước giải: P = 3/4 x 8/9 x 15/16 x … x 9999/10000 P = $\frac{1×3}{2×2}x$ $\frac{2×4}{3×3}x$ $\frac{3×5}{4×4}x…x$ $\frac{99×101}{100×100}$ P = $\frac{(1x2x3x…x99)x((3x4x5x…x101)}{(2x3x4x…x100)x(2x3x4x…x100)}$ P = $\frac{1×101}{100×2}=$ $\frac{101}{200}$ Bình luận
`P= 3/4 . 8/9 . 15/16 … 9999/10000` `P= (1.3)/(2.2) . (2.4)/(3.3) . (3.5)/(4.4) …. (99.101)/(100.100)` `P= ((1.2.3…99).(3.4.5….101))/((2.3.4…100)(2.3.4…100))` `P=(1.101)/(100.2)` `P=101/200` Bình luận
Đáp án:
101/200
Giải thích các bước giải:
P = 3/4 x 8/9 x 15/16 x … x 9999/10000
P = $\frac{1×3}{2×2}x$ $\frac{2×4}{3×3}x$ $\frac{3×5}{4×4}x…x$ $\frac{99×101}{100×100}$
P = $\frac{(1x2x3x…x99)x((3x4x5x…x101)}{(2x3x4x…x100)x(2x3x4x…x100)}$
P = $\frac{1×101}{100×2}=$ $\frac{101}{200}$
`P= 3/4 . 8/9 . 15/16 … 9999/10000`
`P= (1.3)/(2.2) . (2.4)/(3.3) . (3.5)/(4.4) …. (99.101)/(100.100)`
`P= ((1.2.3…99).(3.4.5….101))/((2.3.4…100)(2.3.4…100))`
`P=(1.101)/(100.2)`
`P=101/200`