If 2+x, 3+x, 9+x, are in G.P., then : x=
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here,
t1= 2+x,t2=3+x and t3= 9+x
since they are in g.p.,
t2^2=t1*t3
=> (3+x)^2=(2+x)(9+x)
=>9+x^2+6x=18+2x+9x+x^2
=>-5x=9
=>x=-9/5
t1= 2+x,t2=3+x and t3= 9+x
since they are in g.p.,
t2^2=t1*t3
=> (3+x)^2=(2+x)(9+x)
=>9+x^2+6x=18+2x+9x+x^2
=>-5x=9
=>x=-9/5
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