Melody

1,2,7,14,28,98,196

that might be it  

by the way  14*14=196

Thanks Alan,

I can follow most of that but you lost me at     $$O(x^2)$$     and what happened to all the other powers of x?

Only answer is you feel enthused because this stuff is really over my head.  I couldn't reproduce it.  :(

Why is the answer not 8? (-1)^2-5(-1)+3=9

$$\\(-1)^2-5(-1)+3\\\\
(-1)^2=-1*-1=+1$$

and

5(-1)=5*-1=-5

so we have

$$\\(-1)^2-5(-1)+3 \\\\
= (-1)^2-5*(-1)+3 \\\\
= +1-5*(-1)+3 \\\\
= +1--5+3 \\\\
= +1+5+3 \\\\
=9$$

Does that help?   If you want something explained more, make sure that you ask :)

@@ End of Day Wrap  Mon 22/6/15   Sydney, Australia Time   8:45pm     ♪ ♫

Hi everyone,

Our illustrious answerers of the day were Sir-Emo-Chappington, CPhill, TitaniumRome, Alan and Radix. Thank you 

Tues 23/6/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts: 

FTJ means 'For the juniors' 

There were too many good questions to list them all seperately, I have put a "?" icon in the left margin of the choice questions.   (Some are listed individually as well)   

Well, you would know :)

No, nauseated is a troll, just an unusual one.  Oh, and a very funny one.   :)

I think that is "The War OF the Trolls"     ROF  LOL   

OR maybe just

"The War OF the Troll"        

Oh Rosala,   you should have GOT that one!!!    LOL 

Umm

log(0.955966,1.06)

$${{log}}_{{\mathtt{1.06}}}{\left({\mathtt{0.955\: \!966}}\right)} = -{\mathtt{0.772\: \!846\: \!666\: \!714\: \!989\: \!2}}$$

Is that what you want?

or

$$\\log_{1.06}x=0.955966\\\\
1.06^{log_{1.06}x}=1.06^{0.955966}\\\\
x=1.06^{0.955966}\\\\$$

$${{\mathtt{1.06}}}^{{\mathtt{0.955\: \!966}}} = {\mathtt{1.057\: \!283\: \!724\: \!331\: \!689\: \!1}}$$