Nhanh ạ A = 1 + 1/8 + 1/24 + 1/48 + 1/80 + 1/120 17/09/2021 Bởi Kinsley Nhanh ạ A = 1 + 1/8 + 1/24 + 1/48 + 1/80 + 1/120
Đáp án:A = 1 + 1/8 + 1/24 + 1/48 + 1/80 + 1/120 A=9/8+1/24 + 1/48 + 1/80 + 1/120 A=7/6+1/48+1/80+1/120 A=19/16+1/80+1/120 A=6/5+1/120 A=29/24 Bình luận
`A = 1 + 1/8 + 1/24 + 1/80 + 1/120` `A = 1 + 1/(2.4) + 1/(4.6) + 1/(8.10) + 1/(10.12)` `2A = 2 + 2/(2.4) + 2/(4.6) + 2/(8.10) + 2/(10.12)` `2A = 2 + 1/2 – 1/4 + 1/4 – 1/6 + 1/6 – 1/8 + 1/8 – 1/10 + 1/10 – 1/12` `2A = 2 + 1/2 – 1/12` `2A = 24/12 + 6/12 – 1/12` `2A = (24+6-1)/12` `2A = 29/12` `A = 29/12 : 2` `A = 29/12 xx 1/2` `A = 29/(12xx2)` `A = 29/24` Vậy `A=29/24` Bình luận
Đáp án:A = 1 + 1/8 + 1/24 + 1/48 + 1/80 + 1/120
A=9/8+1/24 + 1/48 + 1/80 + 1/120
A=7/6+1/48+1/80+1/120
A=19/16+1/80+1/120
A=6/5+1/120
A=29/24
`A = 1 + 1/8 + 1/24 + 1/80 + 1/120`
`A = 1 + 1/(2.4) + 1/(4.6) + 1/(8.10) + 1/(10.12)`
`2A = 2 + 2/(2.4) + 2/(4.6) + 2/(8.10) + 2/(10.12)`
`2A = 2 + 1/2 – 1/4 + 1/4 – 1/6 + 1/6 – 1/8 + 1/8 – 1/10 + 1/10 – 1/12`
`2A = 2 + 1/2 – 1/12`
`2A = 24/12 + 6/12 – 1/12`
`2A = (24+6-1)/12`
`2A = 29/12`
`A = 29/12 : 2`
`A = 29/12 xx 1/2`
`A = 29/(12xx2)`
`A = 29/24`
Vậy `A=29/24`