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Question

If x,x+2,x+3 are consecutive terms of a G.P,then find x

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Solution

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+3x+2=x+2x
x(x+3)=(x+2)2
x2+3x=x2+4+4x
3x4x=4
x=4
x=4

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