Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    15
    ReputationRep:
    https://cdn.discordapp.com/attachmen...56/unknown.png

    I'm not quite sure why how you can stick an x behind the 11, can someone explain?
    Offline

    17
    ReputationRep:
    (Original post by will'o'wisp2)
    https://cdn.discordapp.com/attachmen...56/unknown.png

    I'm not quite sure why how you can stick an x behind the 11, can someone explain?
    The x means that it is a multiple of 11.
    Posted on the TSR App. Download from Apple or Google Play
    • Thread Starter
    Offline

    15
    ReputationRep:
    (Original post by Shaanv)
    The x means that it is a multiple of 11.
    so in otherwords it's 11 multiplied by a multiple of 11

    so for example it could be that x is 121 so then 11x=11\cdot 121 ? right
    Offline

    17
    ReputationRep:
    (Original post by will'o'wisp2)
    so in otherwords it's 11 multiplied by a multiple of 11

    so for example it could be that x is 121 so then 11x=11\cdot 121 ? right
    No its 11 multiplied by an integer. So x is just an integer.

    So it could be 11*2 or 11*3 or 11*12 etc.
    Posted on the TSR App. Download from Apple or Google Play
    • Thread Starter
    Offline

    15
    ReputationRep:
    (Original post by Shaanv)
    No its 11 multiplied by an integer. So x is just an integer.

    So it could be 11*2 or 11*3 or 11*12 etc.
    but why do i stick an integer there though?
    Offline

    17
    ReputationRep:
    (Original post by will'o'wisp2)
    but why do i stick an integer there though?
    Well this notation is unfamiliar to me however i assume that it means that 5^(2n)-3^(n) is divisible by 11 for all real values of x. So when u divide 5^(2n)-3^(n) by 11 u will always get an integer value which they have denoted with ‘x’.
    Posted on the TSR App. Download from Apple or Google Play
    • Community Assistant
    • Welcome Squad
    Offline

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by will'o'wisp2)
    https://cdn.discordapp.com/attachmen...56/unknown.png

    I'm not quite sure why how you can stick an x behind the 11, can someone explain?
    Huh? I struggle to find what you're pointing at to be honest...

    If you mean the part where it says 5^{2n}-3^n=11x then of course you're allowed to stick an x there, in fact you need to, because you are assuming here that 5^{2n}-3^n is a multiple of 11, which serves as your induction assumption that is used later on.

    Here x is just some integer, depending on your choice of n of course in your assumption. Missing out on an x would mean that for any n \in \mathbb{N} that I'd pick, I would end up with the number 11 from 5^{2n}-3^n which is counter intuitive at the very least.
    • Thread Starter
    Offline

    15
    ReputationRep:
    (Original post by Shaanv)
    Well this notation is unfamiliar to me however i assume that it means that 5^(2n)-3^(n) is divisible by 11 for all real values of x. So when u divide 5^(2n)-3^(n) by 11 u will always get an integer value which they have denoted with ‘x’.
    where is this part, i can only see n in the set of naturals in the beginning and p(n) implies there exists a z in the set of integers


    anyway you always get an integer? how tho but can't you get a fraction out?
    Offline

    17
    ReputationRep:
    (Original post by will'o'wisp2)
    where is this part, i can only see n in the set of naturals in the beginning and p(n) implies there exists a z in the set of integers


    anyway you always get an integer? how tho but can't you get a fraction out?
    Sorry mate im not familiar with this notation. I gave u an answer that i thought made sense based on my knowledge of induction, and i tried to extrapolate what i knew to fit what i saw.

    Guess i am wrong or missing something.Sorry im not gonna be much help.
    Posted on the TSR App. Download from Apple or Google Play
    • Thread Starter
    Offline

    15
    ReputationRep:
    (Original post by RDKGames)
    Huh? I struggle to find what you're pointing at to be honest...

    If you mean the part where it says 5^{2n}-3^n=11x then of course you're allowed to stick an x there, in fact you need to, because you are assuming here that 5^{2n}-3^n is a multiple of 11, which serves as your induction assumption that is used later on.

    Here x is just some integer, depending on your choice of n of course in your assumption. Missing out on an x would mean that for any n \in \mathbb{N} that I'd pick, I would end up with the number 11 from 5^{2n}-3^n which is counter intuitive at the very least.
    Oh right i see, thanks man, you're always a godsend, it's always the silly little things like these which i always miss out which makes things not make sense for me :P
    (Original post by Shaanv)
    Sorry mate im not familiar with all of this. I gave u an answer that i thought made sense based on my knowledge of induction, and i tried to extrapolate what i knew to fit what i saw.

    Guess i am wrong or missing something.Sorry im not gonna be much help.
    u did well i understand there has to be an integer but now i need to find out why
 
 
 
Poll
Do you agree with the PM's proposal to cut tuition fees for some courses?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.