Toán 1/1*3+1/3*5+……+1/99*101 Trả lời cảm ơn 12/07/2021 By Maya 1/1*3+1/3*5+……+1/99*101 Trả lời cảm ơn
`1/(1*3)+1/(3*5)+……+1/(99*101)` `=1/2.(1 – 1/3 + 1/3 – 1/5 +….+1/99 – 1/101)` `=1/2.(1-1/101)` `=1/2.(100)/101` `=100/202` `=50/101` `#Study well` Trả lời
`A=1/(1\times 3)+1/(3\times 5)+……..+1/(99\times 101)` `2A=2/(1\times 3)+2/(3\times 5)+……..+2/(99\times 101)` `2A=1/1-1/3+1/3-1/5+1/5-1/7+……..+1/99-1/101` `2A=1-1/100=99/101` `A=100/101 :2=50/101` Trả lời