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Unformatted text preview: D to the lines AB,BC,CA are P,Q,R respectively. Show that the angle bisectors of ABC and CDA meet on the line AC i RP = RQ . Problem 5 . Given n > 2 and reals x 1 x 2 x n , show that ( i,j  x ix j  ) 2 2 3 ( n 21) i,j ( x ix j ) 2 . Show that we have equality i the sequence is an arithmetic progression. Problem 6 . Show that for each prime p , there exists a prime q such that n pp is not divisible by q for any positive integer n . 1...
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This note was uploaded on 09/07/2011 for the course RESEARCH R 101 taught by Professor T.s. during the Fall '11 term at Research College.
 Fall '11
 T.S.

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