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

If the sides a , b , c of a triangle A B C form successive terms of G.P. with common ratio r(>1) then which of the following is correct? A >pi/3 (b) Bgeqpi/3 (d) A

Write the first three terms of the G.P. whose first term and the common ratio are given below. a=6, r=3

If the sum of n terms of a G.P. is 3(3^(n+1))/(4^(2n)) , then find the common ratio.

If the sum of n terms of a G.P. is 3-(3^(n+1))/(4^(2n)) , then find the common ratio.

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 common ratio of G.P can be

If a_1,a_2, a_3, a_4 be the coefficient of four consecutive terms in the expansion of (1+x)^n , then prove that: (a_1)/(a_1+a_2)+(a_3)/(a_3+a_4)=(2a_2)/(a_2+a_3)dot

The terms a_1, a_2, a_3 from an arithmetic sequence whose sum s 18. The terms a_1+1,a_2, a_3,+2, in that order, form a geometric sequence. Then the absolute value of the sum of all possible common difference of the A.P. is ________.

If a_0, a_1, a_2, a_3 are all the positive, then 4a_0x^3+3a_1x^2+2a_2x+a_3=0 has least one root in (-1,0) if (a) a_0+a_2=a_1+a_3 and 4a_0+2a_2>3a_1+a_3 (b) 4a_0+2a_2<3a_1+a_3 (c) 4a_0+2a_2=3a_1+a_0 and 4a_0+a_2lta_1+a_3 (d) none of these

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