If three numbers be in $G.P.$, then their logarithms will be in
$A.P.$
$G.P.$
$H.P.$
None of these
If the sum of the first $n$ terms of a series be $5{n^2} + 2n$, then its second term is
The value of $x$ satisfying ${\log _a}x + {\log _{\sqrt a }}x + {\log _{3\sqrt a }}x + .........{\log _{a\sqrt a }}x = \frac{{a + 1}}{2}$ will be
Three numbers are in $A.P.$ whose sum is $33$ and product is $792$, then the smallest number from these numbers is
The number of terms in an $A .P.$ is even ; the sum of the odd terms in it is $24$ and that the even terms is $30$. If the last term exceeds the first term by $10\frac{1}{2}$ , then the number of terms in the $A.P.$ is
The number of terms common between the two series $2 + 5 + 8 +.....$ upto $50$ terms and the series $3 + 5 + 7 + 9.....$ upto $60$ terms, is