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# Official TSR Mathematical Society Tweet

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1. Re: Official TSR Mathematical Society
Let be a root of .

Find the value of
2. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
Let be a root of .

Find the value of

Then with the use of the useful
Last edited by Oh I Really Don't Care; 09-02-2009 at 19:58.
3. Re: Official TSR Mathematical Society
(Original post by DeanK22)
= 0 =

Then with the use of the useful

EDIT: You edited.
Last edited by Daniel Freedman; 05-02-2009 at 22:45.
4. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
... erm. Sorry. I added up incorrectly. The answer should not be one. I think I should be get 5 (will confirm shortly).
5. Re: Official TSR Mathematical Society
(Original post by DeanK22)
... erm. Sorry. I added up incorrectly. The answer should not be one. I think I should be get 5 (will confirm shortly).
Yes, 5 is right.

Although, I prefer the method I have.
6. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
Yes, 5 is right.

Although, I prefer the method I have.
hmm. I like using this result;

... Out of curiosity how did you do it?
7. Re: Official TSR Mathematical Society
(Original post by DeanK22)
hmm. I like using this result;

... Out of curiosity how did you do it?
Your method is actually pretty nice

Alternatively,

8. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
Your method is actually pretty nice

Alternatively,

x^5+1 = (x+1)(x^4-x^3+x^2-x+1)
What made you think to consider x^5 + 1 in the first place?
9. Re: Official TSR Mathematical Society
(Original post by Swayum)
What made you think to consider x^5 + 1 in the first place?
Geometric progressions, equalling zero... looks like roots of unity to me
10. Re: Official TSR Mathematical Society
(Original post by Swayum)
What made you think to consider x^5 + 1 in the first place?
From the question, knowing something about would be very useful.

EDIT: Geometric progressions, as Simon said.
11. Re: Official TSR Mathematical Society
I'll give credit to the source of this afterwards, as the solution is on there too.

For all real x, evaluate
Last edited by Daniel Freedman; 06-01-2010 at 14:09.
12. Re: Official TSR Mathematical Society
Here's a question I've always wanted an answer to. It's probably very simple for most of you; I'm only a lowly A2 Maths student!

If there are an infinite amount of numbers, and therefore an infinite amount of numbers between 1 and 2, how is it possible to get from 1 to 2? That implies a beginning and an end.
13. Re: Official TSR Mathematical Society
(Original post by Lysdexia)
Here's a question I've always wanted an answer to. It's probably very simple for most of you; I'm only a lowly A2 Maths student!

If there are an infinite amount of numbers, and therefore an infinite amount of numbers between 1 and 2, how is it possible to get from 1 to 2? That implies a beginning and an end.
What do you mean by "get from 1 to 2"?
14. Re: Official TSR Mathematical Society
That 1 is the beginning of a series of an infinite amount of numbers and that 2 somehow causes an abrupt end to this series.
15. Re: Official TSR Mathematical Society
(Original post by Lysdexia)
That 1 is the beginning of a series of an infinite amount of numbers and that 2 somehow causes an abrupt end to this series.
You are pondering over a question that makes absolutely no sense - 2 is a symbol specifying an amount yet we could have arbitarly chosen another amount [i.e. in our conventional view of numbers we could have gone from 1 object to three objects with no 2 objects represented by a whole number].
16. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
I'll give credit to the source of this afterwards, as the solution is on there too.

For all real x, evaluate
never done such a limit with any trig or infact never seen one until now.

some kind of tip?
17. Re: Official TSR Mathematical Society
(Original post by DeanK22)
never done such a limit with any trig or infact never seen one until now.

some kind of tip?
Presumably you've writted out the first few terms and aren't getting anywhere?

A good idea with summations is to try and express the general term in a nicer form that you can sum.
18. Re: Official TSR Mathematical Society
(Original post by DeanK22)
You are pondering over a question that makes absolutely no sense - 2 is a symbol specifying an amount yet we could have arbitarly chosen another amount [i.e. in our conventional view of numbers we could have gone from 1 object to three objects with no 2 objects represented by a whole number].
I thought it would be something like that!
19. Re: Official TSR Mathematical Society
(Original post by Daniel Freedman)
I'll give credit to the source of this afterwards, as the solution is on there too.

For all real x, evaluate
Very nice question. My first though was **** me that looks bitchy

Spoiler:
Show

Thefore we have

20. Re: Official TSR Mathematical Society
(Original post by SimonM)
Very nice question. My first though was **** me that looks bitchy

Spoiler:
Show

Thefore we have

Telescopes nicely.

Offtopic: Is University of Leicester good for math? I just got an offer.