Let $E$ = $x^{2017} + y^{2017} + z^{2017} -2017xyz$ (where $x, y, z \geq 0$ ), then the least value of $E$ is
$0$
$-2014$
$-2017$
$2017$
If ${\log _x}y,\;{\log _z}x,\;{\log _y}z$ are in $G.P.$ $xyz = 64$ and ${x^3},\;{y^3},\;{z^3}$ are in $A.P.$, then
Let ${a_1},{a_2},{a_3}$ be any positive real numbers, then which of the following statement is not true
If the first and ${(2n - 1)^{th}}$ terms of an $A.P., G.P.$ and $H.P.$ are equal and their ${n^{th}}$ terms are respectively $a,\;b$ and $c$, then
The sum of three numbers in $G.P.$ is $56.$ If we subtract $1,7,21$ from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
If three unequal numbers $p,\;q,\;r$ are in $H.P.$ and their squares are in $A.P.$, then the ratio $p:q:r$ is