Algebra
Geometric Progressions
What is the geometric mean of 5 and 45?
What is the geometric mean of the following numbers:
\[ 63, 147, 27 \]
There is a cuboid with dimensions \( 10 \times a \times b. \) If \[10, a, b\] form a geometric progression and the volume of the cuboid is \( 1000, \) what is the value of \(a?\)
What is the geometric mean of \({4}^1, {4}^2, \cdots, {4}^n?\)
What is the geometric mean of the following numbers:
\[ 16, 12, 9 ? \]