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Q.

 If x,2x+2, and 3x+3 are first three terms of a G.P. then the fourth term is

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a

-13.5

b

-27

c

27

d

13.5

answer is D.

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Detailed Solution

x,2x+2,3x+3 are in G.P. Hence 

(2x+2)2=x(3x+3)4x2+8x+4=3x2+3xx2+5x+4=0x=1,4 So, the G.P is 4,6,9, (considering x=4, as for x=1,2x+2=0 ) 

 Hence, the fourth term is 9×1.5=13.5

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