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Mega A Level Maths Thread MK II

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Original post by Lord of the Flies

Pf, at least make the result pretty Felix:

\sqrt{\dfrac{1}{\phi^2}+ \sqrt{\dfrac{1}{\phi^4}+ \sqrt{\dfrac{1}{\phi^8}+\cdots}}}

... or something :tongue:

:tongue:

What the hell does that mean?

Original post by Lord of the Flies

Pf, at least make the result pretty Felix:

\sqrt{\dfrac{1}{\phi^2}+ \sqrt{\dfrac{1}{\phi^4}+ \sqrt{\dfrac{1}{\phi^8}+\cdots}}}

... or something :tongue:

:tongue:

It's not that bad xD Argh, let me get my dinner first :L

Original post by MAyman12

What the hell does that mean?

That's what I was thinking :tongue:

:tongue:

Original post by Lord of the Flies

Pf, at least make the result pretty Felix:

\sqrt{\dfrac{1}{\phi^2}+ \sqrt{\dfrac{1}{\phi^4}+ \sqrt{\dfrac{1}{\phi^8}+\cdots}}}

... or something :tongue:

:tongue:

Please help my lesser mind understand this question as I'm really not grasping it :-/

Kvothe the Arcane

Let me try. Series is

10^{\frac{1}{2}}+10^{\frac{1}{4}}+10^{\frac{1}{8}}+... 10^{\dfrac{1}{2n^3}}

It's a geometric series with

a=\sqrt{10}

and

r=10^\frac{1}{4}

S_{\infty}=\dfrac{a}{1-r}

so

\frac{\sqrt{10}}{1-10^\frac{-1}{4}}

(edited 10 years ago)

Original post by MathsNerd1

That's what I was thinking :tongue:

:tongue:

Why did he inverse it?

Original post by reubenkinara

Let me try Series is

10^{\dfrac{1}{2}}+10^{\dfrac{1}{4}}+10^{\dfrac{1}{8}}+10^{\dfrac{1}{n^3}}

It's a geometric series with

a=\sqrt{10}

and

r=

S_{\infty}=\dfrac{a}{1-r}

so

\dfrac{\sqrt{10}}{1-10^\dfrac{1}{4}}

Still going. Just posted to let ppl know I was doing it

this gives a negative answer :confused:

:confused:

Original post by MAyman12

Why did he inverse it?

I don't know, my mind can't grasp these new ideas quite so easily :-/

Felix is it 4sqrt10 /3 or 2sqrt10???

(edited 10 years ago)

Lord of the Flies

Original post by MAyman12

What the hell does that mean?

Original post by MathsNerd1

Please help my lesser mind understand this question as I'm really not grasping it :-/

Don't panic!

\phi

is just the golden ratio. I simply amended Felix's question so that it would yield a cleaner result. :biggrin:

:biggrin:

Original post by Lord of the Flies

Don't panic!

\phi

is just the golden ratio. I simply amended Felix's question so that it would yield a cleaner result. :biggrin:

:biggrin:

I know what the symbol meant by why did you did you inverse it?

Original post by Lord of the Flies

Don't panic!

\phi

is just the golden ratio. I simply amended Felix's question so that it would yield a cleaner result. :biggrin:

:biggrin:

I still can't see a way of getting an answer as I'm not accustomed to these types of questions and haven't had much practice with them :-/

Kvothe the Arcane

Original post by reubenkinara

Let me try. Series is

10^{\frac{1}{2}}+10^{\frac{1}{4}}+10^{\frac{1}{8}}+... 10^{\frac{1}{2n^3}}

It's a geometric series with

a=\sqrt{10}

and

r=10^\frac{1}{4}

S_{\infty}=\dfrac{a}{1-r}

so

\frac{\sqrt{10}}{1-10^\frac{1}{4}}

Original post by Lord of the Flies

Don't panic!

\phi

is just the golden ratio. I simply amended Felix's question so that it would yield a cleaner result. :biggrin:

:biggrin:

I don't get it :frown:

:frown:

What have I done wrong?

(edited 10 years ago)

Kvothe the Arcane

Original post by MathsNerd1

Please help my lesser mind understand this question as I'm really not grasping it :-/

I'm not getting anything. Feel really bad as I've done this before :frown:

:frown:

Original post by reubenkinara

I'm not getting anything. Feel really bad as I've done this before :frown:

:frown:

The common ratio is wrong. :s-smilie:

:s-smilie:

Kvothe the Arcane

Original post by MAyman12

The common ratio is wrong. :s-smilie:

:s-smilie:

I realise. Just don't get it :frown:

:frown:

Original post by reubenkinara

I'm not getting anything. Feel really bad as I've done this before :frown:

:frown:

If this is from C2 then I've clearly forgotten the content.

Kvothe the Arcane

Original post by MathsNerd1

If this is from C2 then I've clearly forgotten the content.

Oh. Not from C2, just when I was doing some extra maths with some mates awhile ago. I came across the first example and understood the concept. Now. I'm just painfully lost.

Original post by reubenkinara

I realise. Just don't get it :frown:

:frown:

Do we get the ratio by doing

\frac{10^\frac{1}{4}}{10^\frac{1}{2}}

?

(edited 10 years ago)

Kvothe the Arcane

Original post by tigerz

Do we get the ratio by doing

\frac{10^\frac{1}{4}}{10^\frac{1}{2}}

?

I'm probably not the guy to ask this time :frown:

:frown:

Didn't even the get the first one. I understood how from the hint, but not how he got from the series to the hint.

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