If x, 2x+2,3x+3 are in G.P., then the fo...

If `x, 2x+2,3x+3` are in `G.P.`, then the fourth term is

-27

13.5

-13.5

Text Solution

Verified by Experts

The correct Answer is:

It is given that
x,2x+2,3x+3 are in G.P.
`rArr" "(2x+2)^(2)=x(3x+3)`
`rArr" "4x^(2)8x+4=3x^(2)+3xrArrx^(2)+5x+4=0rArrx=-1,-4`
So, the G.P. is -4,-6,-9, . . . . .. . . . . . .
Hence, Fourth term `=-9xx1.5=-13.5.`

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