Home
Class 12
MATHS
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

`1ltrlt3`

B

`-3ltrlt-1`

C

`rlt1` or `rgt3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 2|11 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If a_(1),a_(2),a_(3)(a_(1)>0) are three successive terms of a G.P.with common ratio r, for which a+3>4a_(2)-3a_(1) holds is given by a.1 3 or r<1 d.none of these

If a_(1),a_(2),a_(3) are 3 positive consecutive terms of a GP with common ratio K .then all the values of K for which the inequality a_(3)>4a_(2)-3a_(1) is satisfied

If a_(1), a_(2), a_(3)(a_(1)gt 0) are in G.P. with common ratio r, then the value of r, for which the inequality 9a_(1)+5 a_(3)gt 14 a_(2) holds, can not lie in the interval

Let a_(1),a_(2),a_(3) , be three positive numbers which are G.P. with common ratio r. The inequality a_(3) gt a_(2) + 2a_(1) do not holds if r is equal to

Let a_(1), a_(2), a_(3) be three positive numbers which are in geometric progression with common ratio r. The inequality a_(3) gt a_(2)+2a_(1) holds true if r is equal to

If a_(1), a_(2), a_(3), a_(4), a_(5) are consecutive terms of an arithmetic progression with common difference 3, then the value of |(a_(3)^(2),a_(2),a_(1)),(a_(4)^(2),a_(3),a_(2)),(a_(5)^(2),a_(4),a_(3))| is

If a_(1),a_(2),a_(3),a_(4) and a_(5) are in AP with common difference ne 0, find the value of sum_(i=1)^(5)a_(i) " when " a_(3)=2 .

If a_(1),a_(2),a_(3),.... are in G.P. with common ratio as r^(2) then log a_(1),log a_(2),log a_(3),.... will be in