If the sum to infinity of the series `1+2r+3r^2+4r^3+` is 9/4, then value of `r` is (a)`1//2` b. `1//3` c. `1//4` d. none of these

If the sum to the infinity of the series 3+5r+7r^(2)+... is (44)/(9) then find the value of r

If the sum to infinity of the series 3+(3+d)(1)/(4)+(3+2d)(1)/(4^(2))+...oo is (44)/(9) then find d.

If the sum to infinity of the series 3 + (3 + d). (1)/(4) + (3 + 2d) (1)/(4^(2)) + ..... " is " (44)/(9) then find d

The summation of series (601)/(5)sum_(r=1)^(24)(r)/(r^(4)+r^(2)+1) is

In any triangle,the minimum value of r_(1)r_(2)r_(3)/r^(3) is equal to 1(b)9(c)27(d) none of these

The limit of the series underset(r=1)overset(n)sum (r)/(1+r^(2)+r^(4)) as n approaches infinity, is

If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defined by x is greater than ydot The range of R is A. {1,4,6,9} B. {4,6,9} C. {1} D. none of these ANSWER: C

Find sum of the following series to n terms and to infinity: sum_(r=1)^(n)(1)/(4r^(2)-1)

With usual notations in a triangle A B C , if r_1=2r_2=2r_3 then 4a=3b (b) 3a=2b 4b=3a (d) 2a=3b

A and B are two points on the parabola y^(2) = 4ax with vertex O. if OA is perpendicular to OB and they have lengths r_(1) and r_(2) respectively, then the valye of (r_(1)^(4//3)r_(2)^(4//3))/(r_(1)^(2//3)+r_(2)^(2//3)) is