14. Establish the identity below using a combinatorial proof. 3 n 1 - 2 n - (2) (2) + (¿) (* 2³) + (2) ("² ²³) + + (2) (2) = (" + ³). 2 2 = n+3 5

Q: lim In 5n5 In (5n) 50 O O 8 10

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Q: 7. Prove that if a, = 1, a1 = 4, and a, = 6a,-1 – 9an-2 for n > 2, then a, = 3"-(3 + n) for all n 2…

A: We have to prove the following result by using the principle of mathematical induction.

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Q: röve the following identity () - (":")- (:-) n n n | k k k 1

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Q: 5. Prove that (n, n + 2) = 1 is n is odd and (n, n + 2) = 2 is n is even.

A: Suppose (n, n+2) = d => d | n and d | n+2 => d | (n+2) - n => d | 2 => d = 1 or 2.

Q: 5. Suppose you planned on giving 7 gold stars to some of the 13 star students in your class. Each…

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Q: (3) VL1, L2 ((L1 L₂ L₁*)* = (L2 U L₁)*). O True

A: True.  this statement generally

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A:

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Q: 5. Prove that (n,n+2) = 1 is n is odd and (n, n + 2) = 2 is n is even.

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Q: 3. WRite 6+11+16+21 +26731+36+41 in summation notation. @M (SK+1) O (K+) (SK+6)D (K+5) E None of…

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