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Grade 12Magical Mathematics[Interesting Approach]

A function f is defined for all positive integers abd f(1)=2011.

If for every n>1, f(1)+f(2)+f(3)+...+f(n)=n2.f(n), then f(2011)=?

a)1/1004

b)1/2008

c)1/1006

d)1/2012

Plz explain...

Profile image of Chilukuri Sai Kartik
15 Years agoGrade 12
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1 Answer

Profile image of Arun Kumar
12 Years ago
Do little re-arranging


Now its easy to solve the recurrence relation


Arun Kumar
IIT Delhi
Askiitians Faculty