In the following question(s), FN represents the Nth Fibonacci number.If F1000 = a and F1001 = b, then F999 =

A. a + b.
B. a + 2a.
C. b - a.
D. 2a - b.
E. none of these


Answer: C

Mathematics

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If you have the following function, f ( x ) = -x 2 - 5x + 4, compute f (3), f (-2), f (5), f (-4). 

A. f (3) = 0, f (-2) = 21, f (5) = 6, f (-4) = 43 B. f (3) = –2, f (-2) = 18, f (5) = 4, f (-4) = 40 C. f (3) = 1, f (-2) = 20, f (5) = 7, f (-4) = 42 D. f (3) = –1, f (-2) = 19, f (5) = 5, f (-4) = 41 E. f (3) = –3, f (-2) = 16, f (5) = 2, f (-4) = 39

Mathematics

Determine if the argument is valid or invalid. Give a reason to justify answer.You get soup or you get salad.You did not get soup.  ? You got salad.

A. Invalid by fallacy of the inverse B. Invalid by fallacy of the converse C. Valid by the law of syllogism D. Valid by disjunctive syllogism

Mathematics

Solve the problem.In an electronic device, the maximum current density im as a function of the temperature T is given by  where A and K are constants. For what value of T, does im reach its minimum value?

A. T = 
B. T = 
C. T = 
D. T = 

Mathematics

Rationalize numerator.

A.
B. 1
C.
D.

Mathematics