(a) For a (1 5) 2, verify that a2 1 2 a and (2 a)2 5a2 (b) Show that for Icirc sup2 (1 5) 2, Icirc sup2 2 1 2 Icirc sup2 and (2 Icirc sup2 )2 5 Icirc sup2 2 (c) If n, m N prove that nirt

Question: (a) For a = (1 + 5)/2, verify that a2 + 1 = 2 + a and (2 + a)2 = 5a2. (b) Show that

(a) For a = (1 + ˆš5)/2, verify that a2 + 1 = 2 + a and (2 + a)2 = 5a2.
(b) Show that for Î² = (1 - ˆš5)/2, Î²2 + 1 = 2 + Î² and (2 + Î²)2 = 5Î²2.
(c) If n, m ˆˆ N prove that

nirt

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