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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` |
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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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