Đáp án:
Giải thích các bước giải:
a)
C=1/ 1x7 +1/7x13+...+1/607x613
=> 6C =6/ 1x7 +6/ 7x13 +...+ 6/ 607x613
=1-1/7+1/7-1/13+...+1/607-1/613
=1-1/613 =612/613
=> C=102/613
b) D = 3 / 1x3 +3/ 3x5 +...+ 3/ 2017x2019
=> 2/3 D = 2/1x3+2/ 3x5 +...+ 2/2017x2019
=1-1/3+1/3 -1/5+...+1/2017 -1/2019
=1-1/2019 =2018/2019
=> D= 1009/673
c) E= 4/21+3/70+5/150+5/300
=4/3x7 +3/7x10 +5/10x15+ 5/15x20
=1/3-1/7+1/7-1/10+1/10-1/15+1/15-1/20
=1/3-1/20 =17/60
d)F= 3/2-5/6+7/12 -9/20 +...-17/72+19/90
= (1+2)/1x2 -(2+3)/2x3 +...-(8+9)/8x9 +(9+10)/9x10
=1+1/2 -1/2-1/3 +...-1/8-1/9+1/9+1/10
=1+1/10=11/10
e)G=2/ 5x6x7 +2/6x7x8+2/7x8x9 +2/ 8x9x10
= 1/5x6 -1/6x7+1/6x7-1/7x8 +1/7x8-1/8x9 +1/8x9-1/9x10
=1/30 -1/90 =1/45