1.

if `b_(1),b_(2),b_(3)(b_(1)gt0)` are three successive terms of a G.P. with common ratio `r`, the value of for which the inequality `b_(3)gt4b_(2)-3b_(1)`, holds is given byA. `rgt3`B. `0ltrlt1`C. `r=3.5`D. `r=5.2`

Answer» Correct Answer - A::B::C::D
`b_(3)ge4b_(2)-3b_(1)`
`impliesb_(1)r^(2)ge4.b_(1)r-3b_(1)`
`r^(2)ge4r-3`
`impliesr^(2)-4r+3ge0`
`(r-1)(r-3)ge0`
`impliesr in (-infty,1)cup(3, infty)`


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