Mathematicians gather around please (1 Viewer)

[Speed6]

What would be the easiest and quickest way to answer my question:

Thanks

 

[Squar3root]

you can't

 

[Carrotsticks]

What would be the easiest and quickest way to answer my question:

Thanks

The quickest way would be to keep neg repping you back to dark green bars only.

 

[Speed6]

This was the third part of proving in mathematical induction, I didn't want to upload the whole chunk of the question, this was the part where I got stuck.

And mathematical induction is about proving.

 

[Speed6]

you can't

Tell me why I cant?

 

[Squar3root]

Tell me why I cant?

I thought it was obvious/troll but expand both sides. They're not equivalent

 

[Speed6]

I thought it was obvious/troll but expand both sides. They're not equivalent

Ok thanks and no it wasn't a troll I was actually being serious, but thanks for telling me, sometimes the second last part of mathematical induction really makes me think.

Thanks again Squareroot.

 

[dan964]

Tell me why I cant?

Like you said 3rd part of induction
LHS=(4k-6)(4k-2)
Factorising out 2 from each bracket gives
LHS = 4(2k-3)(2k-1)
Clearly that can't equal the RHS, by comparing coefficients of k^2 (on LHS is 16, RHS it is 2), and constants (LHS it is 12, RHS it is -2),
unless k is a certain value.

 

[Speed6]

Like you said 3rd part of induction
LHS=(4k-6)(4k-2)
Factorising out 2 from each bracket gives
LHS = 4(2k-3)(2k-1)
Clearly that can't equal the RHS, by comparing coefficients of k^2 (on LHS is 16, RHS it is 2), and constants (LHS it is 12, RHS it is -2),
unless k is a certain value.

I'll send you the question and working out by pm, there I can see how you do it and compare it to my working out.

 

[arielserravalle]

If you upload the whole question I should be able to do it