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

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

  1. mr singh

    mr singh New 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.
  2. mr singh

    mr singh New 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. alpha1

    alpha1 I BLUES!

    U gotta use Mathematical Induction
  4. bjr

    bjr Lady of the Evening


    Both these problems are standard solved examples in class 11 text books for the Chapter of Induction.
  5. alpha1

    alpha1 I BLUES!

    Unfortunately, I was bad then, worse now.
  6. shak

    shak Harrr!

    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_wizard

    the_wizard Omega == God


    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 :phbbt:
  8. dennis

    dennis The Bhangra King

    yeh induction se hoga naa???
  9. shak

    shak Harrr!

    yup .. induction ...
  10. sixstringsin

    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_play

    can_i_play New Member

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

    notty_lad sudo undress

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

    dennis The Bhangra King

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

    slash_i_m Laid to Rest

    maths and me-allergy
  15. alpha1

    alpha1 I BLUES!

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

    koolstrum The 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. shak

    shak Harrr!

    what a coincidence! i am just listening to a programme on this topic!
    go have a listen ...
  18. dennis

    dennis The Bhangra King

    what the 4 colour theorem???
  19. the_wizard

    the_wizard Omega == God

    Maths sucks :phbbt:
  20. shak

    shak Harrr!

    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

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