Algebra
# Geometric Progressions

Given that the first, second, and third terms of a geometric progression are:

\[3, 9, 27 ... , \]

what is the fifth term?

If the six numbers

\[7, k_1, k_2, k_3, k_4, \frac{7}{32}\]

form a geometric sequence in this order, what is \(k_2?\)

Given that the third, fourth, and fifth terms of a geometric progression are:

\[ \ldots, 45, 135, 405, \ldots, \]

what is the second term?