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f(x+1)=(-1) x+1 x – 2f(x); x belong to N. f(1)=f(1986) Compute the sum of the digit of the number (f(1)+f(2)+f(3)+...........+f(1985))

f(x+1)=(-1)x+1x – 2f(x); x belong to N.
f(1)=f(1986)
Compute the sum of the digit of the number (f(1)+f(2)+f(3)+...........+f(1985))

Grade:12th pass

1 Answers

Vivek
70 Points
4 years ago
Answer is 331. Find f (2), f (3)....till f (1986).Then add all the terms and arrange them by takin similar terms to left side frim right side.This will form like 3(f 1+f2+f3+....f1985)=993.

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