The first and last terms of a $G.P.$ are $a$ and $l$ respectively; $r$ being its common ratio; then the number of terms in this $G.P.$ is
$\frac{{\log l - \log a}}{{\log r}}$
$1 - \frac{{\log l - \log a}}{{\log r}}$
$\frac{{\log a - \log l}}{{\log r}}$
$1 + \frac{{\log l - \log a}}{{\log r}}$
$x = 1 + a + {a^2} + ....\infty \,(a < 1)$ $y = 1 + b + {b^2}.......\infty \,(b < 1)$ Then the value of $1 + ab + {a^2}{b^2} + ..........\infty $ is
Let $P(x)=1+x+x^2+x^3+x^4+x^5$. What is the remainder when $P\left(x^{12}\right)$ is divided by $P(x)$ ?
The number which should be added to the numbers $2, 14, 62$ so that the resulting numbers may be in $G.P.$, is
If $p,\;q,\;r$ are in one geometric progression and $a,\;b,\;c$ in another geometric progression, then $cp,\;bq,\;ar$ are in
If $a, b$ and $c$ be three distinct numbers in $G.P.$ and $a + b + c = xb$ then $x$ can not be