Embibe Experts Solutions for Exercise 2: EXERCISE

The product $\left(32\right) {\left(32\right)}^{1/6} {\left(32\right)}^{1/36}$.........to $\infty$ is  -

The first term of a  $\mathrm{G}.\mathrm{P}.$ $7$, the last term is $448$ and sum of all terms is $889$, then the common ratio is

The fifth term of the $H.P.$, $2, 2\frac{1}{2}, 3\frac{1}{3},.......,$ will be

If $a, b, c, d$ are in $\mathrm{H}.\mathrm{P}$., then $ab+bc+cd$ is equal to

If the $7^{\mathrm{th}}$ term of a H.P. is $\frac{1}{10}$ and the ${12}^{\mathrm{th}}$ term is $\frac{1}{25}$, then the ${20}^{\mathrm{th}}$ term is
 

The harmonic mean of $\frac{a}{1-ab}$ and $\frac{a}{1+ab}$ is

Geometric mean of $7, 7^2, 7^3........7^n$ is -

The sum of series, $6+66+666+........$ upto $n$ term is -