7/2+7/6+7/12+…+7/9900 Question 7/2+7/6+7/12+…+7/9900 in progress 0 Môn Toán Dulcie 5 years 2021-05-24T03:10:00+00:00 2021-05-24T03:10:00+00:00 2 Answers 27 views 0
Answers ( )
`7/2 + 7/6 + 7/12 + … + 7/9900`
`= 7 . ( 1/2 + 1/6 + 1/12 + … + 1/9900 )`
`= 7 . ( 1/1.2 + 1/2.3 + 1/3.4 + … + 1/99 . 100 )`
`= 7 . ( 1/1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 + … + 1/99 – 1/100 )`
`= 7 . 1/1 – 1/100`
`= 693/100`
7/2+7/6+7/12+….+7/9900
=7/1.2+7/2.3+7/3.4+…+7/99.100
=7(1/1.2+1/2.3+1/3.4+…+1/99.100)
=7.(1-1/2+1/2-1/3+1/3-1/4+…+1/99-1/100)
=7.1/100=7/100