Đáp án:
Giải thích các bước giải:
`B=1/5^2+1/6^2+1/7^2+...+1/100^2`
`=>B<1/4.5+1/5.6+1/6.7+...+1/99.100`
`=>B<1/4-1/5+1/5-1/6+1/6-1/7+...+1/99-1/100`
`=>B<1/4-1/100<1/4`
`=>B<1/4`.
`=>B>1/5.6+1/6.7+1/7.8+...+1/100.101`
`=>B>1/5-1/6+1/6-1/7+1/7-1/8+...+1/100-1/101`
`=>B>1/5-1/101>1/6`
`=>1/6<B<1/4`
Vậy `1/6<B<1/4`.