The roots of the equation $x^3-14x^2+56x-64=0$ are in

The arithmetic mean of two numbers $b$ and $c$ is $a$,and $g_1$ and $g_2$ are two geometric means between them. If $g_1^3 + g_2^3 = kabc$,then $k = \dots$

Find the sum to the indicated number of terms in the geometric progression: $x^{3}, x^{5}, x^{7}, \ldots$ for $n$ terms (where $x \neq \pm 1$).

If $x, y, z$ are in $G.P.$ and $a^x = b^y = c^z$,then

The greatest positive integer $k,$ for which $49^k+1$ is a factor of the sum $49^{125}+49^{124}+\ldots+49^{2}+49+1$ is

If in an infinite $G.P.$ the first term is equal to twice the sum of the remaining terms,then its common ratio is