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# I have corrected the number. Sorry about my funny fingers.

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12 Feb 2007, 14:22
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

I have corrected the number. Sorry about my funny fingers.

An ant starts walking from the origin point. What is the final coordinate of the ant walking east 1", north 1/2", west 1/4", south 1/8", east 1/16", and so on.
Given:
S = a(r^0) + a(r^1) + a(r^2) + ... + a(r^n)
= a(1 - r^(n+1)) / (1 - r)

Last edited by devilmirror on 12 Feb 2007, 18:37, edited 1 time in total.
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12 Feb 2007, 14:38
Should it be south 1/8" ?
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12 Feb 2007, 21:22
devilmirror wrote:
I have corrected the number. Sorry about my funny fingers.

An ant starts walking from the origin point. What is the final coordinate of the ant walking east 1", north 1/2", west 1/4", south 1/8", east 1/16", and so on.
Given:
S = a(r^0) + a(r^1) + a(r^2) + ... + a(r^n)
= a(1 - r^(n+1)) / (1 - r)

------

There isn't a final coordinate. Shouldn't it be infinite?

and I fail to see the point for the Geometric progression formula.
its geometric progression with infinite sum, the formula should be
Sn= a / 1-r where a = first element and r = common ratio.

what am I missing?
Re: Series question   [#permalink] 12 Feb 2007, 21:22
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