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please show the answers in PDF format...note Mathmatica must be used prefer 6 but can accept 5.2
a) The built in function Prime[n], outputs the nth prime number. Make a function which lists the first n prime numbers using the Table command.
b) Write a function to find the average of the first n prime numbers using the Apply[Plus,..] function.
c) Make a table of ordered pairs{n,avgprime[n]}, where n is the averagevalue of the first n prime numbers from b), from n = 1 to n = 250.
d) Make a plot of the ordered pairs in part c).
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