If ${A_1},\,{A_2}$ be two arithmetic means between $\frac{1}{3}$ and $\frac{1}{{24}}$ , then their values are
$\frac{7}{{72}},\,\frac{5}{{36}}$
$\frac{{17}}{{72}},\,\frac{5}{{36}}$
$\frac{7}{{36}},\,\frac{5}{{72}}$
$\frac{5}{{72}},\,\frac{{17}}{{72}}$
Five numbers are in $A.P.$, whose sum is $25$ and product is $2520 .$ If one of these five numbers is $-\frac{1}{2},$ then the greatest number amongst them is
How many terms of the $A.P.$ $-6,-\frac{11}{2},-5, \ldots \ldots$ are needed to give the sum $-25 ?$
If the roots of the equation ${x^3} - 12{x^2} + 39x - 28 = 0$ are in $A.P.$, then their common difference will be
The number of terms of the $A.P. 3,7,11,15...$ to be taken so that the sum is $406$ is
If $\tan \,n\theta = \tan m\theta $, then the different values of $\theta $ will be in