Solution 1 61 Midterm 1 Practice Question 1 Let F 1 F 2 1 and F n F n 1 F n 2 n 3 be the Fibonacci numbers Prove that F 3k is even for k
Solution Midterm Practice Question Let F F and F n F n F n n be the Fibonacci numbers Prove that F
Solution Midterm Practice Question Let F F and F n F n F n n be
F F and F n F n F n n be the Fibonacci numbers Prove that F k is even for k
Solution Midterm Practice Question Let F F and F n F n F n
n be the Fibonacci numbers Prove that F k is even for k
Solution Midterm Practice Question Let F F and F n F
Solution Midterm Practice Question Let
(Solution) 1 61 - Midterm 1 Practice Question 1 Let F(1) = F(2) = 1, and F(n) = F(n 1) + F(n 2), n 3 be the Fibonacci numbers. Prove that F(3k) is even for k =...

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there are 3 questions and i need details of every step. 1 61 - Midterm 1 Practice Question 1 Let F (1) = F (2) = 1, and F ( n ) = F ( n - 1) + F ( n - 2), n ? 3 be the Fibonacci numbers. Prove that F (3 k ) is even for k = 1 , 2 , 3 , . . . . ......... Question 2 Let X = { 1 , 2 , 3 } × { 3 , 6 } be a set, with a relation ± de?ned as ( a , b ) ± ( c , d ) i ? a + b ? c + d . Prove that ± is a partial ordering and draw a Hasse diagram for the poset ( X , ± ). ......... Question 3 For two sets A , B , prove that P ( A ) ? P ( B ) ? P ( A ? B ). ......... P uck R ombach D iscrete S tructures M idterm 1

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