Step-by-step explanation:
The sum of a Geometric Progression is called a series.
The sum of a infinite series is defined as
[tex]s _{n} = \frac{a _{1}}{1 - r} [/tex]
Plugging in values gives us
[tex]60 = \frac{12}{1 - r} [/tex]
Solving for r, gives us
[tex]1 - r = \frac{1}{5} [/tex]
[tex] - r = \frac{ - 4}{5} [/tex]
[tex]r = \frac{4}{5} [/tex]
So since we find the radius, to find the second term just multiply 12 by 4/5
[tex]{12} \times \frac{4}{5} = \frac{48}{5} [/tex]
