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

Answer»

We know,nth term of GPan = ar^n-1

Givena3 = ar^2 = 18.........(1)a7 = ar^6 = 32/9.....(2)

ar^6/ar^2 = 32/9*18

r^4 = (2/3)^4

r = 2/3

Put value of r in eq(1)a*(4/9) = 18a = 18*9/4

Therefore, Tenth term= ar^9= (18*9/4)*(2/3)^9= (9*9)/2 * (2/3)^9= (2)^8/(3)^5= 256/243

wrong answer



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