Latest self Aptitude Question SOLUTION: If x,2x+2,3x+3 are the first three terms of a GP,then what is its fourth term?

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If x,2x+2,3x+3 are the first three terms of a GP,then what is its fourth term?

Devendra Marghade (12 years ago)

Solved S. Singh Read Solution (4)

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Mahesh  (12 years ago)

- 13.5

(2x+2)/x= (3x+3)/(2x+2)
4x^2+8x+4 = 3x^2+3x
x^2+5x+4=0
x=-4

so series will be
-4,-6,-9,-13.5

In terms of x,
x,2x+2,3x+3, 4.5x+4.5 where x= -4.

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S. Singh  (12 years ago)

3x+3/2x+2 = 3/2 =1.5

so common ratio is 1.5.

next term will be 1.5*(3x+3) = 4.5x +4.5

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Vignesh  (12 years ago)

-27/2 (or) -13.5 is the fourth term.

# x(3x+3) = square of (2x+2)
# 3x^2 + 3x = 4x^2 + 8x + 4
# x^2 + 5x + 4 = 0
We written like

# x^2 + 4x + x +4 = 0
# x(x+4) +1(x+4)=0
So,

# x = -4,-1

If x = -1 then the three terms are
GP series = -1, 0, 0

If x = -4 then the three terms are
GP series = -4 , -6 , -9

Common ratio, r = 3/2

Fourth term = ar^3 --> -4*(3/2)^3 --> -4*(27/8) --> (-27/2) Or -13.5

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jasmina kamani   (12 years ago)

2x+2/x=3x+3/2x+2
4*x^2+8*x+4=3*x^2+3*x
x^2+5*x+4=0
(x+4)(x+1)=0
x=-4 or x=-1
if x=-4 then 4th term = -12
nd if x=-1 then 4th term=0

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