π = 3.141592653589793 … and so on!
For each natural number n, let G(n) be the digit in the nth decimal place of π. For instance, according to the expression for π given above, we have G(1) = 1, G(2) = 4, and G(5) = 9.
(a) Use the expression for π given above to evaluate G(10) and G(14).
(b) Use the Internet to help you evaluate G(100), G(750), and G(1000). Suggestions: Using any of the common search engines on the World Wide Web, under the categories of mathematics or science, search for “pi.” Here, for example, are two sites that contain the information you need. (They were accessible at the time of this writing, March 2004.)
(University of Exeter)
http://www.ex.ac.uk/cimt/general/pi10000.htm
(The Pi-Search Page)
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