Prove by mathematical induction that the alternate definitions of the fibonacci function given in the previous two exercises are equivalent to the original definition.

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How is the number 110 written when expanded out to place values in the base 2 (binary) number system? options: 2 x 4 + 3 x 2 + 4 x 1 1 x 2 + 1 x 2 + 0 x 2 1 x 100 + 1 x 10 + 0 x 1 1 x 4 + 1 x 2 + 0 x 1

20 points archie wants to use a reflector as he photographs a newlywed couple. what would he consider in his choice? a. shadow and sunny b. homemade and professional c. lamps and boards d. incident and reflected e. neutral density and enhancement