1How can the unknown term \( m \) of the geometric sequence 3, m, 27, ... be found? Find it.
2Find the unknown terms of the geometric sequence 2, \( m_1 \), \( m_2 \), \( m_3 \), 512, ...
3Find a geometric mean between the two numbers 2 and 32.
4Find 3 geometric means between the two numbers 5 and 405.
5Find the geometric mean between 4 and 25.
6Insert 2 geometric means between 2 and 54.
7Insert 4 geometric means between 1 and 243.
8Find 3 geometric means between 81 and 1.
9The geometric mean between \( x \) and 16 is 8. Find \( x \).
10Why is the total number of terms \( m + 2 \) when \( m \) means are inserted?
11Find the geometric mean between \( \frac{1}{3} \) and 27.