Question

how much there will bee: 1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100)? how much there will bee: 1/(1*2)+1/(2*3)+1/(3*4)+...+1/(99*100)? @Mathematics

Answer 1

1-1/100=99/100

Answer 2

why is it so?

Answer 3

1/1*2=(2-1)/1*2=1-1/2
similarly, 1/2*3=1/2-1/3
....
1/99*100=1/99-1/100
if we add these, all the termas except 1 and 1/100 will be cancelled out

Answer 4

cddcdc

Answer 5

great, thanks :)

Answer 6

sorry, terms, not termas :)

Answer 7

Very nice.

Answer 8

thanx