1/1.3-2/3.5+3/5.7-4/7.9+5/9.11-6/11.13+7/13.15-8/15.17 16/10/2021 Bởi Emery 1/1.3-2/3.5+3/5.7-4/7.9+5/9.11-6/11.13+7/13.15-8/15.17
Đáp án: Giải thích các bước giải: 1/1.3-2/3.5+3/5.7-4/7.9+5/9.11-6/11.13+7/13.15-8/15.17 =1/4.(4/1.3-8/3.5+12/5.7-16/7.9+20/9.11-24/11.13+28/13.15-32/15.17) =1/4.(3+1/1.3-5+3/3.5+7+5/5.7-9+7/7.9+11+9/9.11-13+11/11.13+15+13/13.15-17+15/15.17 =1/4.[(1+1/3)-(1/3+1/5)+(1/5+1/7)-(1/7-1/9)+…-(1/15+1/17)] =1/4.(1+1/3-1/3-1/5+1/5+…-1/17) =1/4.(1-1/17)=1/4.16/17=4/17 chúc bạn học tốt Bình luận
Đáp án:
Giải thích các bước giải:
1/1.3-2/3.5+3/5.7-4/7.9+5/9.11-6/11.13+7/13.15-8/15.17
=1/4.(4/1.3-8/3.5+12/5.7-16/7.9+20/9.11-24/11.13+28/13.15-32/15.17)
=1/4.(3+1/1.3-5+3/3.5+7+5/5.7-9+7/7.9+11+9/9.11-13+11/11.13+15+13/13.15-17+15/15.17
=1/4.[(1+1/3)-(1/3+1/5)+(1/5+1/7)-(1/7-1/9)+…-(1/15+1/17)]
=1/4.(1+1/3-1/3-1/5+1/5+…-1/17)
=1/4.(1-1/17)=1/4.16/17=4/17
chúc bạn học tốt