`B=1/3+1/6+1/60+1/15+…+1/2021` Giúp mk với,mk cần gấp: Question `B=1/3+1/6+1/60+1/15+…+1/2021` Giúp mk với,mk cần gấp: in progress 0 Môn Toán Kiệt Gia 5 years 2021-05-19T16:10:22+00:00 2021-05-19T16:10:22+00:00 2 Answers 25 views 0
Answers ( )
Đáp án:
`B=31/32`
Giải thích các bước giải:
đề sai :
`B=1/3+1/6+1/60+1/15+…+1/2021`
sửa lại :
`B=1/3+1/6+1/10+1/15+…+1/2016`
bài làm :
`B=1/3+1/6+1/10+1/15+…+1/2016`
`B=2/6+2/12+2/20+2/30+…+2/4032`
`B=2/2.3+2/3.4+2/4.5+2/5.6+…+2/63.64`
`B=2[1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+…+1/63-1/64]`
`B=2[1/2-(1/3-1/3+1/4-1/4+1/5-1/5+1/6-…-1/63+1/64)]`
`B=2[1/2-1/64]`
`B=2*31/64`
`B=31/32`
Đáp án:
` =>(1/2).B=1/2.(1/3+1/6+1/10+……….+1/2016)`
`(1/2).B=1/6+1/12+1/20+…….+1/4042`
`(1/2).B=1/(2.3)+1/(3.4)+………+1/(63.64)`
`(1/2).B=1/2-1/3+1/3-1/4+…………+1/64-1/64`
`(1/2).B=1/2-1/64=32/64-1/64`
`(1/2).B=31/64`
`B =(31/64).2`
`B=31/32`
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