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Question

Mathematics Question on Sequence and series

Consider a function f:N→R, satisfying
f(1)+2f(2)+3f(3)++xf(x)=x(x+1)f(x);x2withf(1)=1.f(1)+2f(2)+3f(3)+⋯+xf(x)=x(x+1)f(x);x≥2 with f(1)=1.
Then 1f(2022)+1f(2028)\frac{1}{f(2022)} + \frac{1}{f(2028)} is equal to $

A

8100

B

8400

C

8000

D

8200

Answer

8100

Explanation

Solution

The Correct Option is (A): 8100