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 true is given by a. `1ltrlt-3` b. `-3ltrlt-1` c. `r gt3 or rlt1` d. none of these

If a_1,a_2,a_3(a_1 gt0) are in G.P with common ratio r, then the value of r , for which the inequality 9 a_1+5a_3le14a_2 holds, can not lie in the interval.

Let a_1,a_2,a_3…… ,a_n be in G.P such that 3a_1+7a_2 +3a_3-4a_5=0 Then find common ratio of G.P.

If A, A_1,A_2,A_3 are the areas of the inscribed and escribed circles of a DeltaABC, then

The terms a_1,a_2,a_3 form an arithmetic sequence whose sum is 18.The terms sum of all possible common difference of the A.P is ______.

a_1, a_2, a_3, in R-{0} and a_1+a_2cos2x+a_3sin^2x=0 for all x in R , then

Let A_r ,r=1,2,3, , be the points on the number line such that O A_1,O A_2,O A_3dot are in G P , where O is the origin, and the common ratio of the G P be a positive proper fraction. Let M , be the middle point of the line segment A_r A_(r+1.) Then the value of sum_(r=1)^ooO M_r is equal to (a) (O A_1(O S A_1-O A_2))/(2(O A_1+O A_2)) (b) (O A_1(O A_2+O A_1))/(2(O A_1-O A_2) (c) (O A_1)/(2(O A_1-O A_2)) (d) oo

If a_1 and a_2 are two non-collinear unit vectors and if |a_1+a_2|=sqrt(3) , then the value of (a_1-a_2)*(2a_1+a_2) is

If in a progression a_1, a_2, a_3,.......... e tc dot,(a_r-a_(r+1)) bears a constant ratio with a_rxxa_(r+1) , then the terms of the progression are in a. A.P b. G.P. c. H.P. d. none of these

A sequence of no. a_1,a_2,a_3 ..... satisfies the relation a_n=a_(n-1)+a_(n-2) for nge2 . Find a_4 if a_1=a_2=1 .

Let a_1 , a_2 , a_3,.... be terms of an A.P. if (a_1 + a_2 +....+ a_p)/(a_1 + a_2 +...+ a_q) = p^2/q^2. p ne q then a_6/a_21 equals