I think 5/2, will write proof in a sec.
Posted this in the Extracurricular Secondary Maths thread, only to realise it was Secondary Maths . Re-posting here:
Define X(n) & Y(n) in the following manner:
X(1) = Y(1) = 1, otherwise:
X(n)
= 2X(n-1) if n is Even
= 2X(n-1) - 1 if n is Odd
Y(n)
= 2Y(n-1) + 1 if n is Even
= 2Y(n-1) if n is Odd
Examples:
X(n) | 1 | 2 | 3 | 6 | 11 | 22 | 43 | 86 | ...
Y(n) | 1 | 3 | 6 | 13 | 26 | 53 | 106 | 213 | ...
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ...
The problem:
Find Y(n)/X(n) as n -> infinity.
Good luck
Last edited by Mikamesh; 19 Jul 2016 at 8:05 PM.
I think 5/2, will write proof in a sec.
Last edited by seanieg89; 19 Jul 2016 at 9:00 PM.
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