Question

Tính A=1/3+1/6+1/10+1/15+....+1/171+1/190

Các bn giúp mk nhé

Cảm ơn

Answer 1

=2*(1/6+1/12+1/20+...+1/380)

=2*(1/2*3+1/3*4+1/4*5+...+1/19*20)

=2*(1/2-1/3+1/3-1/4+1/4-1/5+...+1/19-1/20)

=2*(1/2-1/20)

=2*(10/20-1/20)

=2*9/20

=18/20

=9/10

Answer 2

A/2=(1/3+1/6+1/10+1/15+...+1/171+1/190)/2

=1/6+1/12+1/20+1/30+...+1/342+1/380

=1/2.3+1/3.4+1/4.5+1/5.6+....+1/18.19+1/19.20

=1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 +....+ 1/18 - 1/19 + 1/19 - 1/20

=1/2 - 1/20 = 10/20 - 1/20 = 9/20

=> A = 9/20 .2 = 18/20=9/10