Question

Find the sum of the following : (1-1/n)+(1-2/n)+(1-3/n)+...upto n terms .

Answer 1

The sum can be rewritten as (1+1+1+1+1.....upto n terms) - 1/n(1+2+3+4.....up to n terms)

which is pretty simple, (n) - (1/n)(n(n+1)/2) = (n-1)/2