Question

1/(1*2)+ 1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)=

Answer 1

Ответ:

1/(1*2)+ 1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)=0.875

Объяснение:

Answer 2

1/(1*2)+ 1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)= 7/8

1/n(n+1) = (n + 1 - n)/n(n + 1) = 1/n - 1/(n + 1)

1/(1*2)+ 1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 = 1 - 1/8 = 7/8 = 0.875