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If a(1),a(2),a(3)(a(1)gt0) are three suc...

If `a_(1),a_(2),a_(3)(a_(1)gt0)` are three successive terms of a GP with common ratio r, the value of r for which `a_(3)gt4a_(2)-3a_(1)` holds is given by

A

`rgt3`

B

`0ltrlt1`

C

`r=3.5`

D

`r=5.2`

Text Solution

Verified by Experts

The correct Answer is:
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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