Identify the First Term and Common Ratio

The first term $a_1 = 4$ and the common ratio $r$ can be found by dividing the second term by the first term: $r = \frac{8}{4} = 2$.

$r = \frac{a_2}{a_1} = \frac{8}{4} = 2$

Apply the GP General Term Formula

To find the next term (which is the fifth term, $n = 5$), use the geometric progression formula: $a_n = a_1 \cdot r^{n-1}$.

$a_5 = a_1 \cdot r^{5-1}$

Calculate the Fifth Term

Substitute the values $a_1 = 4$, $r = 2$, and $n = 5$ into the formula: $a_5 = 4 \cdot (2)^4 = 4 \cdot 16 = 64$.

$a_5 = 4 \cdot 2^4 = 4 \cdot 16 = 64$