- #1
amr21
- 11
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Starting from the origin, go one unit east, then the same distance north, then (1/2) of the previous distance west, then (1/3)
of the previous distance south, then (1/4) of the previous distance east, and so on. What point does this 'spiral' converge to?
I have attempted to sketch this out but not sure how to work out what point it converges to. I know that it is somewhere between n/2 and 7n/12 (after 6 moves from the origin). The fractions are getting smaller but is there an easy way to work out at what point it converges?
of the previous distance south, then (1/4) of the previous distance east, and so on. What point does this 'spiral' converge to?
I have attempted to sketch this out but not sure how to work out what point it converges to. I know that it is somewhere between n/2 and 7n/12 (after 6 moves from the origin). The fractions are getting smaller but is there an easy way to work out at what point it converges?