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The function F(n) is defined for all positive integers as follows: F(1) = 0 and for all n ≥ 2,
F(n) = F(n-1) + 2 if 2 divides n but 3 does not divide n;
F(n) = F(n-1) + 3 if 3 divides n but 2 does not divide n;
F(n) = F(n-1) + 4 if 2 and 3 both divide n;
F(n) = F(n-1) if neither 2 nor 3 divides n.
The value of F(6000) equals
(a) 9827
(b) 10121
(c) 11000
(d) 12300
(e) 12352
Sagot :
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