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Let f : N to R be a function satisfyin...

Let ` f : N to R ` be a function satisfying the following conditions:
`f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 `
The value of f(999) is ` (1)/(K) ` where K equals

A

999

B

1000

C

1998

D

2000

Text Solution

Verified by Experts

The correct Answer is:
C
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