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PM - Proof by Induction

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  • 29-05-2013 11:19am
    #1
    cmccarra
    Registered Users Posts: 43 ✭


    Well,
    Anyone able to verify my answer for this proof by induction question? I seen an answer online but it's done using a different method so I'm not totally sure.

    The question is Question 2 on the 2013 Sample Paper 1, as follows:

    (a) Prove by induction that the sum of r from r=1 to r=n is equal to n(n+1)/2, for any n<N.

    Here is my solution:

    2ck3fEI.jpg?1

    cheers!


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    #2
    curly135
    Registered Users Posts: 124 ✭✭curly135


    Yeah, it's right :)

    I'd be pretty happy if this one or something like it comes up, as far as proof by induction goes, they're the easiest ones :) I'm still a bit shaky with the inequality ones though xD


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    #3
    cmccarra
    Registered Users Posts: 43 ✭cmccarra


    curly135 wrote: »
    Yeah, it's right :)

    I'd be pretty happy if this one or something like it comes up, as far as proof by induction goes, they're the easiest ones :) I'm still a bit shaky with the inequality ones though xD

    cheers :) what about proof by induction of De Moivre's Theorem? It's pretty dirty to learn!


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    #4
    curly135
    Registered Users Posts: 124 ✭✭curly135


    cmccarra wrote: »
    cheers :) what about proof by induction of De Moivre's Theorem? It's pretty dirty to learn!

    Yeah, that one's pretty tricky all right, I'd probably just look over it the night before... the only other thing is proving the differentiation rule by induction, that ones not too bad either, it'd be easy enough marks if it comes up in the calculus section :)


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