Question

Tim tick:

(1-1/4).(1-1/9).....(1-1/100)

ai giải trước mik tick cho nhanh nha

Answer 1

(1-1/4).(1-1/9)......(1-1/100)

=1/1-1/4.1/4-1/9....1/9-1/100

=1/1-1/100

=99/100

Answer 2

\(\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).....\left(1-\frac{1}{100}\right)\)

= 3/4.8/9.....99/100

= 3.8....99/4.9....100

=1.3.2.4.....9.11/2.2.3.3....10.10

= (1.2.3....9) . (3.4...11)/(2.3.4....10).(2.3.4...10 )

=11/10.2 = 11/20

k mk nha bn