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

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:

 

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,

 

U gotta use Mathematical Induction

 

Yes.



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

 

Unfortunately, I was bad then, worse now.

 

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

 

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:

 

yeh induction se hoga naa???

 

yup .. induction ...

 

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 !!

 

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

 

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

 

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

 

maths and me-allergy

 

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

 

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.

 

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

 

what the 4 colour theorem???

 

Maths sucks hbbt:

 

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