I am struggling with question 2 and 3. 1. Use induction to prove that, for all n € Z+,(i) 6 (n³ - n)(ii) 2+5+8+·+ (3n-1) = n(3n+1)/2=2. Suppose that an is defined by setting a₁ = -2, a₂ = 0, and an 4an-1-4an-2,where n ≥ 3. Using strong induction, prove that an = 2" (n − 2) for all n € Z+.-3. Let a be a positive integer. Evaluate the following:(i) ged(a, a²)(ii) ged(a, a²+1)(iii) ged(a, a+2) (Hint: consider two cases: when a is even and when a is odd)You do not need to use the Euclidean Algorithm to answer this question.

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Answered: Suppose that an is defined by setting a…

Suppose that an is defined by setting a = = -2, a₂ = 0, and an = 4an-1-4an-29 where n ≥ 3. Using strong induction, prove that an = 2" (n-2) for all n € Z+.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I already have a,b,c and d. I just need help on E, F, G, and H
can you answer part a, b, c since they are all one question
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How to do question 22, 26, and 28?
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why is option 14 correct?
Can i share my screen and show you a homework problem that I thought I did right but is wrong and I don't know what I've done wrong?
what is the final answer to this question
So what is the answer here!