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 p 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, is a site that was available as recently as June 2010 that contains the information you need. The Pi-Search Page at http://www.angio.net/pi/piquery.
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