An algebra problem by Manish Mayank

Algebra Level 2

Find the sum...

{1- 1 n \frac{1}{n} } + {1- 2 n \frac{2}{n} } + {1- 3 n \frac{3}{n} } + ....... + upto n terms

n * 1 2 \frac{1}{2} (n-1) 1 2 \frac{1}{2} (n-2) 1 2 \frac{1}{2} 0

Manish Mayank by Manish Mayank , 20, India

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1 solution

Parveen Soni
Nov 1, 2014

given series can be written as
answer=(1+1+1.......n terms)-(1/n)(1+2+3+.......n terms)
and we know that sum of first n natural numbers is {n(n+1)}/2
Hence answer=(1xn)-(1/n)[{n(n+1)}/2]=(n-1)/2

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