Question

If 2/3 ,x,3/2,yare in gp,find x and y.


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Answer 1

Answer:

ANSWER

Given: x,x+2,x+3 are consecutive terms of a G.P

To find :x

Solution: Since in a G.P the ratio between any two consecitive terms remains same

for the given three consecutive terms

x+2

x+3

=

x

x+2

x(x+3)=(x+2)

2

x

2

+3x=x

2

+4+4x

3x−4x=4

−x=4

x=−4