If there are 3 geometric means between 4 and 64 then the common ratio is

The sum to infinity of $\frac{1}{7}+\frac{2}{7^2}+\frac{1}{7^3}+\frac{2}{7^4}+\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\backslash frac\{1\}\{7\}+\backslash frac\{2\}\{7^2\}+\backslash frac\{1\}\{7^3\}+\backslash frac\{2\}\{7^4\}+\; ........$ is

The least value of n so that $1+3+3^2+3^3\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}n1\; +\; 3\; +\; 3^2\; +\; 3^3\; ......\; n$ terms is greater than 2000 is ………

The greatest value of n so that $1+5+5^2+5^3+\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{.}n1\; +\; 5\; +\; 5^2\; +\; 5^3\; +\; .......\; n$ terms is less than 4321 is ………

If the sum of the three numbers in a G.P is 26 and the sum of products taken two at a time is 156, then the numbers are

Geometric mean of 6 and 24 is

One of the 5 geometric means between $\frac{1}{3}\backslash frac\{1\}\{3\}$ and 243 is

If the A.M and G.M of two numbers are 13 and 12 respectively then the two numbers are

If the arithmetic mean of two numbers is 10 and geometric mean is 6, then the numbers are

Which of the following series is an arithmetic progression ?