Let e, 12, e, = 29 and e,+2=5e,+1-6e, for all n 2 0. Use strong -6e, for all n20. Use strong induction to prove that e, =5-3" +7 2 for all integers n 20.

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Q: y. Use strong induction to prove that if n EN and n> 10

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Q: 9) Let a, = a-1 +12a__2,a, = 2, a, = 1.Use the strong induction to show that for all n20, a, = (-3)"…

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Q: See attached image

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Q: 2) use the mathematical induction to prove : F) 34n+2 + 52n+1 divided by 14 , Vn E N+

A: 34n+2+52n+1

Q: See attached image

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Q: Prove by the method of Mathematical Induction that, E 2' = 2" – 1 for any positive integer n.

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Q: 1. Consider the sequence a1 = 3 , a2 = -9 , an = 7an-1 – 10an-2, for n > 3. Use strong induction to…

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Q: 3) Prove by induction on n that, for all positive integers n, 21|(4"+1 + 5²n – 1).

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Q: Use strong induction to prove that if n EN and n > 10,

A: Base step

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