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#2: Post edited
- Please see the $r^k$ underlined in red, which is $(\frac{1 - p}{p})^k$ as defined by the green underlines.
- 1. How do you deduce that the exponent must be $k$? Why isn't the exponent $k + 1$?
2. Is this question related to [the Fence Post Error](https://betterexplained.com/articles/learning-how-to-count-avoiding-the-fencepost-problem/)? Have I committed it?- ![Image alt text](https://math.codidact.com/uploads/Hxun33WQYXi981CVzUChcfEG)
- Tsitsiklis, *Introduction to Probability* (2008 2e), p 63.
- Please see the $r^k$ underlined in red, which is $(\frac{1 - p}{p})^k$ as defined by the green underlines.
- 1. How do you deduce that the exponent must be $k$? Why isn't the exponent $k + 1$?
- 2. Is this question related to [the Fence Post Error](https://mathenchant.wordpress.com/2017/11/16/impaled-on-a-fencepost/)? Have I committed it?
- ![Image alt text](https://math.codidact.com/uploads/Hxun33WQYXi981CVzUChcfEG)
- Tsitsiklis, *Introduction to Probability* (2008 2e), p 63.
#1: Initial revision
In $w_{k + 1} - w_k = (\frac{1 - p}{p})^{exponent}(w_1 - w_0)$, why isn't exponent $k + 1$?
Please see the $r^k$ underlined in red, which is $(\frac{1 - p}{p})^k$ as defined by the green underlines. 1. How do you deduce that the exponent must be $k$? Why isn't the exponent $k + 1$? 2. Is this question related to [the Fence Post Error](https://betterexplained.com/articles/learning-how-to-count-avoiding-the-fencepost-problem/)? Have I committed it? ![Image alt text](https://math.codidact.com/uploads/Hxun33WQYXi981CVzUChcfEG) Tsitsiklis, *Introduction to Probability* (2008 2e), p 63.