find the explicit rule for the nth term of the geometric sequence if the second and fifth terms in the sequence are 12 ans 324, respectively.

Step-by-step explanation:

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.

This can be expanded for the nth term in the following way:

Or also

In which is the first term

In this question:

Then

Finding the common ratio:

Finding the first term:

Explicit rule:

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17