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_(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

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)>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)(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

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

Let a_(1), a_(2), a_(3)... be a sequance of positive integers in arithmetic progression with common difference 2. Also let b_(1),b_(2), b_(3)...... be a sequences of posotive intergers in geometric progression with commo ratio 2. If a_(1)=b_(1)=c_(2) . then the number of all possible values of c, for which the equality. 2(a_(1)+a_(2).+.....+a_(n))=b_(1)+b_(2)+....+b_(n) holes for same positive integer n, is