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10.The third term of a G.P is 18 and its seventh term is3-. Find the tenth term of the G.P

Answer»

Let 1st term be 'a'.So, ar^2=18.......(1)...(given)Also ar^6=32/9..(2)...(given)Dividing (2) by (1), we get,ar^6/ar^2 = 32/162r^4=16/81.r=2/3.Putting r in eqn.(1)a=81/2.So, 10th term = ar^9= (81/2) ×(512/19683)= 256/243.

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