Đặt `B =9/2 + 9/4 + 9/8+ 9/16 + 9/32 + 9/64`
`= 9 ( 1/2 + 1/4 + 1/8 + 1/16 + 1/32 +1/64)`
Đặt `A = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64`
`1/2 A =1/2( 1/2 + 1/4 + 1/8 +1/16+ 1/32 + 1/64)`
`1/2 A= 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128`
`A - 1/2 A = 1/2 + 1/4 + 1/8 + 1/16+ 1/32 + 1/64 - 1/4 - 1/8 - 1/16 - 1/32 - 1/64 - 1/128`
`1/2 A = 1/2 -1/128`
`1/2 A= 63/128`
`A= 63/128 : 1/2`
`A= 63/128 . 2`
`A=63/64`
`=> B= 9 . 63/64`
`=> B=567/64`
Vậy `9/2 + 9/4 + 9/8+ 9/16 + 9/32 + 9/64 = 567/64`