Toán tính: A=1.98+2.97+3.96+…+98.1/1.2+2.3+3.4+…+98.99 08/09/2021 By Claire tính: A=1.98+2.97+3.96+…+98.1/1.2+2.3+3.4+…+98.99
Đặt `B=1*2+2*3+3*4+…+98*99=(98*99*100)/3` `A=[2(100-1)+3(100-2)+…+98(100-99)]/B` `A=[100(1+2+3+…+98)-B]/B` `A=[100(1+…+98)]/B-1` `A=(100*99*98/2)/B-1` `A=[100*99*98/2]/[99*98*100/3]-1` `A=(1/2)/(1/3)-1` `A=1/2` Trả lời
Đặt `B=1*2+2*3+3*4+…+98*99=(98*99*100)/3`
`A=[2(100-1)+3(100-2)+…+98(100-99)]/B`
`A=[100(1+2+3+…+98)-B]/B`
`A=[100(1+…+98)]/B-1`
`A=(100*99*98/2)/B-1`
`A=[100*99*98/2]/[99*98*100/3]-1`
`A=(1/2)/(1/3)-1`
`A=1/2`