Tính Tổng S= 1/2.5+1/5.8+1/8.11+1/11.14+ … +1/97.100 18/08/2021 Bởi Jasmine Tính Tổng S= 1/2.5+1/5.8+1/8.11+1/11.14+ … +1/97.100
Đáp án: `S=49/300` Giải thích các bước giải: `S= 1/2.5+1/5.8+1/8.11+1/11.14+ … +1/97.100` `=>3S= 3/2.5+3/5.8+3/8.11+3/11.14+ … +3/97.100` `=>3S= 1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14+ … +1/97-1/100` `=>3S= 1/2-1/100` `=>3S=49/100` `=>S=49/300` Bình luận
`S= 1/{2.5}+1/{5.8}+1/{8.11}+1/{11.14}+ … +1/{97.100}` `3S = 3/{2.5}+3/{5.8}+3/{8.11}+3/{11.14}+ … +3/{97.100}` `3S = 1/2 – 1/5 + 1/5 – 1/8 + 1/8 – 1/{11} + 1/{11} – 1/{14} + ……. + 1/{97} – 1/{100}` `3S = 1/2 – 1/{100}` `3S = 49/100` `S = 49/300` Bình luận
Đáp án:
`S=49/300`
Giải thích các bước giải:
`S= 1/2.5+1/5.8+1/8.11+1/11.14+ … +1/97.100`
`=>3S= 3/2.5+3/5.8+3/8.11+3/11.14+ … +3/97.100`
`=>3S= 1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14+ … +1/97-1/100`
`=>3S= 1/2-1/100`
`=>3S=49/100`
`=>S=49/300`
`S= 1/{2.5}+1/{5.8}+1/{8.11}+1/{11.14}+ … +1/{97.100}`
`3S = 3/{2.5}+3/{5.8}+3/{8.11}+3/{11.14}+ … +3/{97.100}`
`3S = 1/2 – 1/5 + 1/5 – 1/8 + 1/8 – 1/{11} + 1/{11} – 1/{14} + ……. + 1/{97} – 1/{100}`
`3S = 1/2 – 1/{100}`
`3S = 49/100`
`S = 49/300`