Same thing Melody:
I might have got to the end result quicker if I'd used your formulation though!
.
In general (m2 - n2) = (m + n)(m - n) so if m = n+1 we have
(m2 - n2) = ((n+1)2 - n2) = (n+1 + n)(n+1 - n) = (m + n)*1 = m + n
Divide 2210 by 44778 and multiply by 100 to turn it into a percentage.
1.84*10-6/23 → 184*10-8/23 → 8*10-8
If you hover the cursor over the log button you will see other functions appear, one of which is ln, the natural logarithm.
It equals nonsense, as it implies that 14 + 36 = 102, which is clearly false!
Because, if you look at the original form of the equation, 4-∞ = 0, 6-∞ = 0 and 9-∞ = 0 i.e. each of the terms on the LHS is individually zero.
In that limit my rearranged version of the equation doesn't hold, because a divide by zero would be involved.
This can be written as -4m2 + 3m - 1 - m - 2
Collect terms: -4m2 + 2m - 3 It doesn't simplify any further.
Solutions can be seen more easily from the following:
I get a similar(ish) expression to Bertie, except that I count from the first person not to be eliminated on the first rotation round the circle.
$$p=2(n-2^{floor(\log_2{n})})+1$$
This generates the following positions, p, for n from 1 to 16
+33667 
