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    Struggling with this paper and would appreciate any hints or help of any form.

    https://bmos.ukmt.org.uk/home/bmo2-2015.pdf
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    (Original post by 11234)
    Struggling with this paper and would appreciate any hints or help of any form.

    https://bmos.ukmt.org.uk/home/bmo2-2015.pdf
    either identify it as a periodic (or some sort of periodicity to it) sequence or find the nth term
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    11234
    Q2 is my favourite ( out of Q1 and Q2 , didn't even try geometry and whatever 4 is )
    substitute xn=(sqrt(....)... in the given formula (that's how I solved it) and you get
    x(n+1)= (x(n-1)-1)/(x(n-1)+1)
    Does this help ?
    Extra hint:
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    x(n+1)=-1/(x(n-3))
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    (Original post by 11234)
    Struggling with this paper and would appreciate any hints or help of any form.

    https://bmos.ukmt.org.uk/home/bmo2-2015.pdf
    Carry on linking n with n-2, n-5 etc until you see a nice pattern.



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    (Original post by physicsmaths)
    Carry on linking n with n-2, n-5 etc until you see a nice pattern.



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    I did it up to n-5 but then it got messy, might give it another go though...
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    any tips for bmo2, i can sometimes do the number theory and geometry ones. I've done one recurrence relation one but other questions are out of reach especially combinatorics
 
 
 
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