Results 1 to 2 of 2
Like Tree2Likes
  • 2 Post By fan96

Thread: 2016 HSC Past Paper Question

  1. #1
    Cadet
    Join Date
    Mar 2017
    HSC
    2018
    Gender
    Male
    Location
    Gosford
    Posts
    57
    Rep Power
    2

    2016 HSC Past Paper Question

    Screen Shot 2018-09-07 at 7.40.09 pm.png

    Q(IV) I don't exactly understand the solution to this question.

    Thanks.
    Preliminary 2017: //English Standard//Maths Extension 1//Physics//Chemistry//Design & Technology//IDTVET//

    HSC 2018: //English Standard//Maths Extension 1//Maths Extension 2//Physics//Chemistry//

    ATAR Aim: 95+

  2. #2
    617 pages fan96's Avatar
    Join Date
    May 2017
    HSC
    2018
    Gender
    Male
    Location
    NSW
    Posts
    419
    Rep Power
    2

    Re: 2016 HSC Past Paper Question

    Given that

    for some .

    Set to get



    That red expression on the RHS looks very similar to the LHS.

    Set to get



    Substitute (2) back into (1) to get:



    Set to get



    Substitute (4) back into (3) to get:



    If you look at (1), (3) and (5):





    It's pretty clear what is happening on the RHS.

    If you keep repeating this process, then for any finite you will eventually get



    So how many minus signs are on the RHS? Well let's look at those equations again:





    That red number happens to be the same as the number of minus signs on the RHS.

    Now so when we eventually reduce that term on the RHS to then there will be minus signs on the RHS.

    That is,



    Note that the LHS contains and is not defined. Therefore we need .
    Last edited by fan96; 7 Sep 2018 at 9:53 PM.
    Andy005 and darkk_blu like this.

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •