`1/(2.4)+1/(4.6)+...+1/((2x-2).2x)=3/16`
`1/2(2/(2.4)+2/(4.6)+...+2/((2x-2).2x))=3/16`
`1/2-1/4+1/4-1/6+...+1/(2x-2)-1/(2x)=3/16:1/2`
`1/2-1/(2x)=3/8`
`1/(2x)=1/2-3/8`
`1/(2x)=1/8`
`2x=8`
`x=8:2`
`x=4`
Vậy `x=4`
Đáp án + Giải thích các bước giải:
`1/2.4+1/4.6+...+1/((2x-2).2x)=3/16`
`=>1/2(2/2.4+2/4.6+...+2/((2x-2).2x))=3/16`
`=>1/2(1/2-1/4+1/4-1/6+...+1/(2x-2)-1/(2x))=3/16`
`=>1/2(1/2-1/(2x))=3/16`
`=>1/2-1/(2x)=3/16:1/2`
`=>1/2-1/(2x)=3/16 .2`
`=>1/2-1/(2x)=3/8`
`=>1/(2x)=1/2-3/8`
`=>1/(2x)=4/8-3/8`
`=>1/(2x)=1/8`
`=>2x=8`
`=>x=8:2`
`=>x=4`
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