SOLUTION: Given that the fourth term in the expansion of (px + 1/x)^n is 5/2 . find the values of n and p, where n is positive integer.

Question 980977: Given that the fourth term in the expansion of (px + 1/x)^n is 5/2 . find the values of n and p, where n is positive integer.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
(px + 1/x)^n is 5/2

The 4th term is 



So  must be true for all x≠0

Therefore the power of x must be 0, or n-6=0, or n=6









Multiply both sides by 2



Divide both sides by 5







Edwin

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