4 the maths lovers...??? help!!!

Discussion in 'The ChitChat Lounge' started by mr singh, Jan 17, 2006.

1. mr singhNew Member

ok, this is perhaps one of the most random threads u will ever c...
but can sum1 please explain to me the concept of doing mathematical proofs and guide me through prooving that the followin is tru...

n^2 - n - 41 is never divisible by 7

btw, n^2 means "n-squared"... and where n is a positive integer, lol.
thnks 4 any help in advance.
btw i wsnt sure which forum 2 post this thread, unsurprisingly, lmao.
:help:

2. mr singhNew Member

ok, 4 those people along with myself who find this 1 2 difficult cn try n do this 1...
prove that
n^5 - n^3 is always divisible by 24
where, n^5 means "n to the power 5" and n^3 means "n to the power 3", and where n is a postive integer above 1.
ps, i no how 2 prove this, i sumhow managed 2 get,

3. alpha1I BLUES!

U gotta use Mathematical Induction

4. bjrLady of the Evening

Yes.

Both these problems are standard solved examples in class 11 text books for the Chapter of Induction.

5. alpha1I BLUES!

Unfortunately, I was bad then, worse now.

6. shakHarrr!

heinman's solution book P3 is it? .. go ask in the library ... when are you sitting your a-levels? (that is, if you are)

7. the_wizardOmega == God

MATHS??

man I failed twice during graduation in tht

third time they pushed me to the border line

M.A.T.H.S.==Mentally Affected Teacher Harassing Students hbbt:

8. dennisThe Bhangra King

yeh induction se hoga naa???

9. shakHarrr!

yup .. induction ...

10. sixstringsin||||||

lets suppose to contrary that n sqaured minus bla bla *is divisible* by 7

therefore, for n=1
=>1 squared -1 -41 is divisible by 7
=>1-1-41 is divisible by 7
=>-43 is divisible by 7
^which is not true -- << forgot some logik here ... hehe>> -- guess can try other values of n .. such as 2, 3 etc ..and then say our assumption was wrong and then "hence proved" lolz !!

vini likes this.
11. can_i_playNew Member

i tnk the above process is what is the called induction method.....

12. notty_ladsudo undress

Man .. Aliens are more familiar to me than those wierd.. aargh equations .. NO MATHS NO MATHS rotest:

13. dennisThe Bhangra King

tatti question tha...post something more interesting if u can

14. slash_i_mLaid to Rest

maths and me-allergy

15. alpha1I BLUES!

OK
1. Give the proof for the 4-color theorem
2. Proof for Fermat's Last theorm
3. Proof for Euler's geometry formula

16. koolstrumThe Chosen One

Now u got carried away by dennis's comment....!. jaane do na. jisne thread start kiya usko toh jawaab mila na. ab bus bhi karo yaar.kyun mujhe apne bure dino ki yaad dilaate ho.end it here.

17. shakHarrr!

what a coincidence! i am just listening to a programme on this topic!
http://www.bbc.co.uk/radio4/science/another51.shtml
go have a listen ...

18. dennisThe Bhangra King

what the 4 colour theorem???

19. the_wizardOmega == God

Maths sucks hbbt:

20. shakHarrr!

its really interesting stuff. . just came to know about this yesterday morning ...
apparently .. mathematicians have been goin nuts for 100 years just to solve this problem .. it was posed by a silly student .. and it made mathematicians spend more than hundreds of thousands of hours just ot solve this problem ..
it says .. to colour a map .. any map .. you need not more than 4 colours, so that any neighbouring country would not have the same colour filled in ... easy said than done .. hehe