If a1,a2, a3(a1>0) are three successive terms of a G.P. with common ratio r, the value of r for which a3>4a2−3a1 is
1 < r <3
-3 < r <-1
r >3 or r <1
none of these
a3>4a2−3a1
⇒a1r2>4a1r−3a1
⇒r2>4r−3
⇒r2−4r+3>0
⇒(r−1)(r−3)>0
⇒r<1 or r>3
If a1,a2, a3(a1>0) are three successive terms of a G.P. with common ratio r, the value of r for which a3>4a2−3a1 holds is given by