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In a G.P. the product of three consecutive terms is 27 and the sum of the products of two terms taken at a time is \frac{57}{2}. Find the three terms.
 
Answer:
 
When r=ii, (r < 1):
 
The three terms are ii,i,i.
 
When r=ii, (r > 1):
 
The three terms are i,i,ii.