Question 242174
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If he travels 5% less distance each day, then he travels 95% of the previous days distance.  Hence the common ratio is 95%, or .95.


The sum of the infinite series:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ =\ \sum_{k=0}^\infty\,ar^k\ =\ \frac{a}{1\ -\ r}]


Just plug in your values:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ =\ \frac{25}{1\ -\ 0.95}]


Now all you need to do is a little arithmetic.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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