Find the sum of n terms of the series : (1-1/n)+(1-2/n)+(1-3/n)+......
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(1-1/n)+(1-2/n)+(1-3/n).......
(1+1+1..........n terms )-1/n (1+2+3+4.......n terms )
1+1+1.........n terms=n
1+2+3+4+........ n terms =n(n+1)/2
now put this
n-1/n {n (n+1)/2}=n-(n+1)/2=(n-1)/2
hence answer is (n-1)/2
(1+1+1..........n terms )-1/n (1+2+3+4.......n terms )
1+1+1.........n terms=n
1+2+3+4+........ n terms =n(n+1)/2
now put this
n-1/n {n (n+1)/2}=n-(n+1)/2=(n-1)/2
hence answer is (n-1)/2
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