Organize your schedule study the basics and do your best and don't upset your mom the best thing to do is to gently approach her and show her that you are not playing around but ur in serious trouble , explain yourself and your situation in a direct way , if she didnt listen follow her decision .
Mathematical Induction problem
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I am having trouble understanding this problem with mathematical induction. I understand what needs to be done but i don't understand the results of this problem:
1...+3...+5...+..(2n-1)=n^2
I assume the basic step that when n=1 this equation will be true on both sides.
2n-1=n^2=2(1)-1=1(1)^2=1 Hence the equation is true when n=1
Inductive step wants to prove if it is true for other numbers when n=k and k=k+1
2k-1=k^2
2(k+1)-1=(k+1)^2
2k+2-1=(k+1)(k+1)
2k+1=k^2+k+k+1
2k+1=k^2+2k+1The induction failed
But the tutorial claims that 1...+3....+5...+(2k+1)-1=(k+1)^2 is true and their demonstration does not make sense. How is this so? What am I missing?
See Problem 2 at:https://www.tutorialspoint.com/discrete_mathematics/discrete_mathematical_induction.htm as reference to what im talking about.
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@bunyonb said in Mathematical Induction problem:
Inductive step wants to prove if it is true for other numbers when n=k and k=k+1
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@Emanresu-Retne I have read that as well. It still doesn't show me how the equation i posted is right. I am under the assumption that both the LHS and RHS of the equation must be equal to 1. right? But that is not what i got.
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The way the induction works is you begin by proving that the claim is true for n=1. then you assume it is tru for n=k and you use the assumption to prove that your claim is true for n= k+1. It seems from reading the convo that this is not very clearly understood. Try approaching the problem from this perspective.
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You are the problem here, not the math
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@cuntfuck I agree lol
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@cuntfuck but you can not be the solution always
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@bunyonb wow!!!
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@bunyonb said in Mathematical Induction problem:
@Emanresu-Retne I have read that as well. It still doesn't show me how the equation i posted is right. I am under the assumption that both the LHS and RHS of the equation must be equal to 1. right? But that is not what i got.
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stop reviving 2 yr old posts!!